# How do you solve # 4 /(x+1 )+ 3 /(x - 4) = 2 /( x +1)#?

##### 2 Answers

#### Explanation:

Assuming you want to solve for x, find the common denominator for the left side,

#### Explanation:

Our strategy will be to eliminate quotients.

This equation will look a lot less scary if we multiply both sides by

Now subtract 4 from both sides of the equation.

Now multiply both side s of the equation by

Hey! No more quotients! Now apply the distributive property.

Add

Subtract 3 from both sides of this equation.

Divide both sides of this equation by 5.

We can check our answer.

Wadya know? Algebra WORKS!