# How do you solve \frac { 4} { 6} = \frac { 8} { x - 1}?

Dec 4, 2016

$x = 13$

#### Explanation:

If you have just one fraction or term on each side of an equation,you can get rid of the fractions by cross-multiplying..

$\frac{4}{6} = \frac{8}{x - 1}$

$4 \left(x - 1\right) = 6 \times 8$

$4 x - 4 = 48$

$4 x = 48 + 4$

$4 x = 52$

$x = 13$

Check: $\frac{8}{13 - 1} = \frac{8}{12}$

Both $\frac{4}{6} \mathmr{and} \frac{8}{12}$ simplify to $\frac{2}{3}$