Solve for x (|x|)/7=5

$\frac{| x |}{7} = 5$

Multiply both sides of the equation by $7$ .

$7 \frac{| x |}{7} = 7 \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$7 \frac{| x |}{7} = 7 \cdot 5$

Rewrite the expression.

$| x | = 7 \cdot 5$

Simplify the right side.

Multiply $7$ by $5$ .

$| x | = 35$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$x = \pm 35$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 35$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 35$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 35, - 35$