# How do you solve the rational equation #1 / 2 + 2 / x = 1 / 3 + 3 / x#?

##### 2 Answers

Dec 31, 2015

Get both sides onto a common denominator and simplify

#### Explanation:

(x +4)/(2x) = (x+9)/(3x)

Dec 31, 2015

Multiply through by

#x = 6#

#### Explanation:

Given

Multiply both sides by

#3x + 12 = 2x + 18#

Subtract

#x = 6#