Solve for x (-x)/4=-11/2

$\frac{- x}{4} = - \frac{11}{2}$

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

$\frac{4}{- 1} \cdot \frac{- x}{4} = \frac{4}{- 1} (- \frac{11}{2})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{- 1} \cdot \frac{- x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{- 1} \cdot \frac{- x}{4} = \frac{4}{- 1} (- \frac{11}{2})$

Rewrite the expression.

$\frac{1}{- 1} (- x) = \frac{4}{- 1} (- \frac{11}{2})$

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

$- \frac{x}{- 1} = \frac{4}{- 1} (- \frac{11}{2})$

Simplify the expression.

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$- (- 1 \cdot x) = \frac{4}{- 1} (- \frac{11}{2})$

Rewrite $- 1 \cdot x$ as $- x$ .

$- - x = \frac{4}{- 1} (- \frac{11}{2})$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x = \frac{4}{- 1} (- \frac{11}{2})$

Multiply $x$ by $1$ .

$x = \frac{4}{- 1} (- \frac{11}{2})$

Simplify the right side.

Simplify $\frac{4}{- 1} (- \frac{11}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{11}{2}$ into the numerator.

$x = \frac{4}{- 1} \cdot \frac{- 11}{2}$

Factor $2$ out of $4$ .

$x = \frac{2 (2)}{- 1} \cdot \frac{- 11}{2}$

Cancel the common factor.

$x = \frac{2 \cdot 2}{- 1} \cdot \frac{- 11}{2}$

Rewrite the expression.

$x = \frac{2}{- 1} \cdot - 11$

Combine $\frac{2}{- 1}$ and $- 11$ .

$x = \frac{2 \cdot - 11}{- 1}$

Simplify the expression.

Multiply $2$ by $- 11$ .

$x = \frac{- 22}{- 1}$

Divide $- 22$ by $- 1$ .

$x = 22$