# How do you solve 5/12=(x+1)/4?

Feb 26, 2017

$x = \frac{2}{3}$

#### Explanation:

Solve:

$\frac{5}{12} = \frac{x + 1}{4}$

Cross multiply.

$5 \times 4 = 12 \left(x + 1\right)$

Simplify.

$20 = 12 x + 12$

Subtract $12$ from both sides.

$20 - 12 = 12 x$

Simplify.

$8 = 12 x$

Divide both sides by $12$.

$\frac{8}{12} = x$

Reduce by dividing the numerator and denominator by $4$.

$\frac{2}{3} = x$

Switch sides.

$x = \frac{2}{3}$