Solve for x x/8-1/2=1/2

$\frac{x}{8} - \frac{1}{2} = \frac{1}{2}$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Add $\frac{1}{2}$ to both sides of the equation.

$\frac{x}{8} = \frac{1}{2} + \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{x}{8} = \frac{1 + 1}{2}$

Add $1$ and $1$ .

$\frac{x}{8} = \frac{2}{2}$

Divide $2$ by $2$ .

$\frac{x}{8} = 1$

Step 2

Multiply both sides of the equation by $8$ .

$8 \frac{x}{8} = 8 \cdot 1$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$8 \frac{x}{8} = 8 \cdot 1$

Rewrite the expression.

$x = 8 \cdot 1$

Simplify the right side.

Multiply $8$ by $1$ .

$x = 8$