Solve for w -5=7-w/2

$- 5 = 7 - \frac{w}{2}$

Step 1

Rewrite the equation as $7 - \frac{w}{2} = - 5$ .

$7 - \frac{w}{2} = - 5$

Step 2

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

Subtract $7$ from both sides of the equation.

$- \frac{w}{2} = - 5 - 7$

Subtract $7$ from $- 5$ .

$- \frac{w}{2} = - 12$

Step 3

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

$- 2 (- \frac{w}{2}) = - 2 \cdot - 12$

Step 4

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $2$ .

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

$- 2 \frac{- w}{2} = - 2 \cdot - 12$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- w}{2} = - 2 \cdot - 12$

Cancel the common factor.

$2 \cdot - 1 \frac{- w}{2} = - 2 \cdot - 12$

Rewrite the expression.

$- - w = - 2 \cdot - 12$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 w = - 2 \cdot - 12$

Multiply $w$ by $1$ .

$w = - 2 \cdot - 12$

Simplify the right side.

Multiply $- 2$ by $- 12$ .

$w = 24$