Solve for x -5/8x=25

$- \frac{5}{8} x = 25$

Step 1

Multiply both sides of the equation by $- \frac{8}{5}$ .

$- \frac{8}{5} (- \frac{5}{8} x) = - \frac{8}{5} \cdot 25$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{8}{5} (- \frac{5}{8} x)$ .

Combine $x$ and $\frac{5}{8}$ .

$- \frac{8}{5} (- \frac{x \cdot 5}{8}) = - \frac{8}{5} \cdot 25$

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$\frac{- 8}{5} (- \frac{x \cdot 5}{8}) = - \frac{8}{5} \cdot 25$

Move the leading negative in $- \frac{x \cdot 5}{8}$ into the numerator.

$\frac{- 8}{5} \cdot \frac{- x \cdot 5}{8} = - \frac{8}{5} \cdot 25$

Factor $8$ out of $- 8$ .

$\frac{8 (- 1)}{5} \cdot \frac{- x \cdot 5}{8} = - \frac{8}{5} \cdot 25$

Cancel the common factor.

$\frac{8 \cdot - 1}{5} \cdot \frac{- x \cdot 5}{8} = - \frac{8}{5} \cdot 25$

Rewrite the expression.

$\frac{- 1}{5} (- x \cdot 5) = - \frac{8}{5} \cdot 25$

Cancel the common factor of $5$ .

Factor $5$ out of $- x \cdot 5$ .

$\frac{- 1}{5} (5 \cdot (- x)) = - \frac{8}{5} \cdot 25$

Cancel the common factor.

$\frac{- 1}{5} (5 \cdot (- x)) = - \frac{8}{5} \cdot 25$

Rewrite the expression.

$- - x = - \frac{8}{5} \cdot 25$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{8}{5} \cdot 25$

Multiply $x$ by $1$ .

$x = - \frac{8}{5} \cdot 25$

Simplify the right side.

Simplify $- \frac{8}{5} \cdot 25$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$x = \frac{- 8}{5} \cdot 25$

Factor $5$ out of $25$ .

$x = \frac{- 8}{5} \cdot (5 (5))$

Cancel the common factor.

$x = \frac{- 8}{5} \cdot (5 \cdot 5)$

Rewrite the expression.

$x = - 8 \cdot 5$

Multiply $- 8$ by $5$ .

$x = - 40$

Solve for x -5/8x=25

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