# How do you solve 2/(x+1)=4/x?

Aug 3, 2017

$x = - 2$

Refer to the explanation for the process.

#### Explanation:

Solve:

$\frac{2}{x + 1} = \frac{4}{x}$

Cross multiply each denominator by the numerator of the opposite fraction.

$2 x = 4 \left(x + 1\right)$

Expland.

$2 x = 4 x + 4$

Subtract $2 x$ from both sides.

$0 = 4 x + 4 - 2 x$

Subtract $4$ from both sides.

$- 4 = 2 x$

Divide both sides by $2$.

$- \frac{4}{2} = x$

Simplify.

$- 2 = x$

Switch sides.

$x = - 2$