# Solving an Equation (Variable on Both Sides)

In this video, we will be learning how to solve for x (or another variable) in complex algebraic equations where x (or another variable) is present on both sides using inverse operations.

For Example:

$5x-7=2(x+5)-5\leftarrow$ Distribute the 2 to the x and 5

$5x-7=2x+10-5\leftarrow$ Simplify the right side using addition

$5x-7-2x=2x+5-2x\leftarrow$ Isolate the variable by subtracting 2x from both sides

$3x-7+7=5+7\leftarrow$ Isolate the variable by adding 7 to both sides

$\frac{3x}{3}=\frac{12}{3}\leftarrow$ Divide by 3 on both sides

$x=4$
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Used by students across the country. Pre-Algebra, Algebra I, Geometry, & Algebra II