Solve for x -1/2x=4

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

Step 1

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

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

Step 2

Simplify both sides of the equation.

Simplify the left side.

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

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

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

Cancel the common factor of $2$ .

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

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$- - x = - 2 \cdot 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 2 \cdot 4$

Multiply $x$ by $1$ .

$x = - 2 \cdot 4$

Simplify the right side.

Multiply $- 2$ by $4$ .

$x = - 8$