Solve for x -1/4x=5/2

$- \frac{1}{4} x = \frac{5}{2}$

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{1}{4} x) = - 4 (\frac{5}{2})$

Simplify both sides of the equation.

Simplify the left side.

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

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

$- 4 (- \frac{x}{4}) = - 4 (\frac{5}{2})$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{x}{4}$ into the numerator.

$- 4 \frac{- x}{4} = - 4 (\frac{5}{2})$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- x}{4} = - 4 (\frac{5}{2})$

Cancel the common factor.

$4 \cdot - 1 \frac{- x}{4} = - 4 (\frac{5}{2})$

Rewrite the expression.

$- - x = - 4 (\frac{5}{2})$

$- - x = - 4 (\frac{5}{2})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 4 (\frac{5}{2})$

Multiply $x$ by $1$ .

$x = - 4 (\frac{5}{2})$

$x = - 4 (\frac{5}{2})$

$x = - 4 (\frac{5}{2})$

$x = - 4 (\frac{5}{2})$

Simplify the right side.

Simplify $- 4 (\frac{5}{2})$ .

Cancel the common factor of $2$ .

Factor $2$ out of $- 4$ .

$x = 2 (- 2) \frac{5}{2}$

Cancel the common factor.

$x = 2 \cdot - 2 \frac{5}{2}$

Rewrite the expression.

$x = - 2 \cdot 5$

$x = - 2 \cdot 5$

Multiply $- 2$ by $5$ .

$x = - 10$

$x = - 10$

$x = - 10$

$x = - 10$

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