# How do you solve 3/7=(x-2)/6?

##### 1 Answer
Jan 18, 2017

$x = \frac{32}{7}$

#### Explanation:

Solve $\frac{3}{7} = \frac{x - 2}{6}$

Multiply both sides by $6$.

$\frac{3}{7} \times 6 = x - 2$

Simplify.

$\frac{3 \times 6}{7} = x - 2$

$\frac{18}{7} = x - 2$

Multiply both sides by $7$.

$18 = 7 \left(x - 2\right)$

Expand.

$18 = 7 x - 14$

Add $14$ to both sides.

$18 + 14 = 7 x$

Simplify.

$32 = 7 x$

Divide both sides by $7$.

$\frac{32}{7} = x$

Switch sides.

$x = \frac{32}{7}$