# How do you solve  1/8x= -3?

Jun 27, 2015

See the explanation below.

#### Explanation:

Solve $\frac{1}{8} x = - 3$ .

Simplify $\frac{1}{8} x$ to $\frac{x}{8}$ .

$\frac{x}{8} = - 3$

Multiply both sides times $8$.

$\frac{x \left(8\right)}{8} = - 3 \left(8\right)$

Cancel the $8$.

$\frac{x \cancel{8}}{\cancel{8}} = - 3 \left(8\right)$ =

$x = - 24$

Jun 27, 2015

Multiply both sides of the equation by $8$ to find: $x = - 24$

#### Explanation:

Multiply both sides of the equation by $8$.

The left hand side becomes:

$8 \cdot \frac{1}{8} x = \left(8 \cdot \frac{1}{8}\right) \cdot x = 1 \cdot x = x$

The right hand side becomes:

$8 \cdot - 3 = - 24$

So $x = - 24$

In general you can do any of the following to an equation and preserve its truth:

(1) Add or subtract the same value on both sides.
(2) Multiply or divide by the same non-zero value on both sides.