Solve for x 1/2(x-16)=-4

$\frac{1}{2} (x - 16) = - 4$

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (x - 16)) = 2 \cdot - 4$

Simplify both sides of the equation.

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (x - 16))$ .

Apply the distributive property.

$2 (\frac{1}{2} x + \frac{1}{2} \cdot - 16) = 2 \cdot - 4$

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

$2 (\frac{x}{2} + \frac{1}{2} \cdot - 16) = 2 \cdot - 4$

Cancel the common factor of $2$ .

Factor $2$ out of $- 16$ .

$2 (\frac{x}{2} + \frac{1}{2} \cdot (2 (- 8))) = 2 \cdot - 4$

Cancel the common factor.

$2 (\frac{x}{2} + \frac{1}{2} \cdot (2 \cdot - 8)) = 2 \cdot - 4$

Rewrite the expression.

$2 (\frac{x}{2} - 8) = 2 \cdot - 4$

Apply the distributive property.

$2 \frac{x}{2} + 2 \cdot - 8 = 2 \cdot - 4$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} + 2 \cdot - 8 = 2 \cdot - 4$

Rewrite the expression.

$x + 2 \cdot - 8 = 2 \cdot - 4$

Multiply $2$ by $- 8$ .

$x - 16 = 2 \cdot - 4$

Simplify the right side.

Multiply $2$ by $- 4$ .

$x - 16 = - 8$

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

Add $16$ to both sides of the equation.

$x = - 8 + 16$

Add $- 8$ and $16$ .

$x = 8$