Solving an Equation Step-by-Step: CCSS.Math.Content.HSA-REI.A.1 - Algebra

First, subtract from both sides to get the variables on one side.

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From here, add ten to both sides to get all constants on one side, and solve for .

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To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

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To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, subtract from .

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, subtract the constant from the right-hand side of the equation to the left-hand side.

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Finally divide each side by three to solve for .

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

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To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

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To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

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To solve for , first combine the like terms on the left-hand side of the equation.

Therefore, the equation becomes,

Now, move all the variables to the right-hand side of the equation by adding to both sides.

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From here, subtract the constant on the right-hand side from both sides of the equation.

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Lastly, divide by three on both sides of the equation to solve for .

To solve for , first combine like terms by adding to both sides.

Next, add to both sides.

From here, divide by to solve for .

To solve for , first subtract one from both sides to combine the constant terms.

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From here, multiply by two on both sides to solve for .

The two in the numerator cancels the two in the denominator on the left-hand side of the equation; thus, isolating .

To solve for first combine the constant terms by adding two to both sides of the equation.

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From here, multiply each side of the equation by 3 to solve for .

The three in the numerator cancels out the three in the denominator on the left-hand side of the equation; thus, solving for .

First, combine like terms on both sides of the equation.

On the left-hand side:

Thus the equation becomes,

Now, subtract from both sides.

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Lastly, divide by negative one on both sides.

First, combine like terms on the left-hand side of the equation.

Now, the equation is

From here, subtract from both sides.

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Next, subtract five to both sides.

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Finally, divide both sides of the equation by two.

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

______________

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, subtract from .

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, subtract the constant from the right-hand side of the equation to the left-hand side.

______________

Finally divide each side by three to solve for .

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

_____________________

Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

______________

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

______________

To solve for , first combine like terms.

On the left-hand side of the equation there are two terms that contain . Therefore, add and together.

Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.

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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.

______________

To solve for , first combine the like terms on the left-hand side of the equation.

Therefore, the equation becomes,

Now, move all the variables to the right-hand side of the equation by adding to both sides.

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From here, subtract the constant on the right-hand side from both sides of the equation.

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Lastly, divide by three on both sides of the equation to solve for .

To solve for , first combine like terms by adding to both sides.

Next, add to both sides.

From here, divide by to solve for .

To solve for , first subtract one from both sides to combine the constant terms.

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From here, multiply by two on both sides to solve for .

The two in the numerator cancels the two in the denominator on the left-hand side of the equation; thus, isolating .