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# Solve the equation: 12x + 9 = 4x + 7

Question:

A
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Explaination

We need to isolate all terms containing x on one side of the equation. We can eliminate 4x from the right-hand side of 12x + 9 = 4x + 7 by subtracting 4x from both sides of the equation.

12x + 9 = 4x + 7

Subtract 4x from both sides.

12x + 9 -4x = 4x + 7 -4x

8x + 9 = 7

Next, eliminate 9 from the left-hand side of the last equation by subtracting 9 from both sides of the equation.

8x + 9 - 9= 7 - 9

8x = -2

Note how we have isolated all terms containing x on one side of the equation. Finally, to “undo” multiplying by 8, divide both sides of the equation by 8 and reduce to the lowest terms.

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