Solve for x x/-5=15

$\frac{x}{- 5} = 15$

Step 1

Multiply both sides of the equation by $- 5$ .

$- 5 \frac{x}{- 5} = - 5 \cdot 15$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 5 \frac{x}{- 5}$ .

Cancel the common factor of $5$ .

Factor $5$ out of $- 5$ .

$5 (- 1) \frac{x}{- 5} = - 5 \cdot 15$

Factor $5$ out of $- 5$ .

$5 \cdot - 1 \frac{x}{5 \cdot - 1} = - 5 \cdot 15$

Cancel the common factor.

$5 \cdot - 1 \frac{x}{5 \cdot - 1} = - 5 \cdot 15$

Rewrite the expression.

$- \frac{x}{- 1} = - 5 \cdot 15$

Simplify the expression.

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

$- (- 1 \cdot x) = - 5 \cdot 15$

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

$- - x = - 5 \cdot 15$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x = - 5 \cdot 15$

Multiply $x$ by $1$ .

$x = - 5 \cdot 15$

Simplify the right side.

Multiply $- 5$ by $15$ .

$x = - 75$