Solve for x 1/2x+13=9

$\frac{1}{2} x + 13 = 9$

Step 1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} + 13 = 9$

Step 2

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

Subtract $13$ from both sides of the equation.

$\frac{x}{2} = 9 - 13$

Subtract $13$ from $9$ .

$\frac{x}{2} = - 4$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot - 4$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot - 4$

Rewrite the expression.

$x = 2 \cdot - 4$

Simplify the right side.

Multiply $2$ by $- 4$ .

$x = - 8$