Solve for x 15=9-1/2x

$15 = 9 - \frac{1}{2} x$

Step 1

Rewrite the equation as $9 - \frac{1}{2} x = 15$ .

$9 - \frac{1}{2} x = 15$

Step 2

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

$9 - \frac{x}{2} = 15$

Step 3

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

Subtract $9$ from both sides of the equation.

$- \frac{x}{2} = 15 - 9$

Subtract $9$ from $15$ .

$- \frac{x}{2} = 6$

Step 4

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{x}{2}) = - 2 \cdot 6$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$- 2 \frac{- x}{2} = - 2 \cdot 6$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 \cdot 6$

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 \cdot 6$

Rewrite the expression.

$- - x = - 2 \cdot 6$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 2 \cdot 6$

Multiply $x$ by $1$ .

$x = - 2 \cdot 6$

Simplify the right side.

Multiply $- 2$ by $6$ .

$x = - 12$