Solve for x -16=(8x)/5

$- 16 = \frac{8 x}{5}$

Step 1

Rewrite the equation as $\frac{8 x}{5} = - 16$ .

$\frac{8 x}{5} = - 16$

Step 2

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

$\frac{5}{8} \cdot \frac{8 x}{5} = \frac{5}{8} \cdot - 16$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{8} \cdot \frac{8 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{8} \cdot \frac{8 x}{5} = \frac{5}{8} \cdot - 16$

Rewrite the expression.

$\frac{1}{8} (8 x) = \frac{5}{8} \cdot - 16$

Cancel the common factor of $8$ .

Factor $8$ out of $8 x$ .

$\frac{1}{8} (8 (x)) = \frac{5}{8} \cdot - 16$

Cancel the common factor.

$\frac{1}{8} (8 x) = \frac{5}{8} \cdot - 16$

Rewrite the expression.

$x = \frac{5}{8} \cdot - 16$

Simplify the right side.

Simplify $\frac{5}{8} \cdot - 16$ .

Cancel the common factor of $8$ .

Factor $8$ out of $- 16$ .

$x = \frac{5}{8} \cdot (8 (- 2))$

Cancel the common factor.

$x = \frac{5}{8} \cdot (8 \cdot - 2)$

Rewrite the expression.

$x = 5 \cdot - 2$

Multiply $5$ by $- 2$ .

$x = - 10$