Solve for x 1/2(4x)=-20

$\frac{1}{2} (4 x) = - 20$

Multiply both sides of the equation by $\frac{1}{\frac{1}{2} \cdot 4}$ .

$\frac{1}{\frac{1}{2} \cdot 4} (\frac{1}{2} \cdot (4 x)) = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{1}{\frac{1}{2} \cdot 4} (\frac{1}{2} \cdot (4 x))$ .

Combine $\frac{1}{2}$ and $4$ .

$\frac{1}{\frac{4}{2}} (\frac{1}{2} \cdot (4 x)) = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Divide $4$ by $2$ .

$\frac{1}{2} (\frac{1}{2} \cdot (4 x)) = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Cancel the common factor of $2$ .

Factor $2$ out of $\frac{1}{2} \cdot (4 x)$ .

$\frac{1}{2} (2 (\frac{1}{2} \cdot (2 x))) = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Cancel the common factor.

$\frac{1}{2} (2 (\frac{1}{2} \cdot (2 x))) = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Rewrite the expression.

$\frac{1}{2} \cdot (2 x) = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

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

$\frac{2}{2} \cdot x = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

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

$\frac{2 x}{2} = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Divide $x$ by $1$ .

$x = \frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$

Simplify the right side.

Simplify $\frac{1}{\frac{1}{2} \cdot 4} \cdot - 20$ .

Combine $\frac{1}{2}$ and $4$ .

$x = \frac{1}{\frac{4}{2}} \cdot - 20$

Divide $4$ by $2$ .

$x = \frac{1}{2} \cdot - 20$

Cancel the common factor of $2$ .

Factor $2$ out of $- 20$ .

$x = \frac{1}{2} \cdot (2 (- 10))$

Cancel the common factor.

$x = \frac{1}{2} \cdot (2 \cdot - 10)$

Rewrite the expression.

$x = - 10$