# How do you solve #-4/(x-1)=7/(2-x)+3/(x+1)#?

##### 2 Answers

Follow the steps below.

The rearranged equation is

#### Explanation:

(I'm doing this in more and slower steps than normal to make it super clear. We multiply be each denominator in turn and cancel, then multiply, collect like terms and simplify)

First multiply everything by

Now multiply everything by

Now multiply everything by

First multiply out each set of parentheses:

Collect like terms within the parentheses:

Multiply the constants through the parentheses:

Collect all like terms on one side and equate the total to zero:

We don't write the term with a coefficient of

Therefore

#### Explanation:

Given:

(I will re-write

Multiplying all terms by

From here on, it is simply a matter of standard algebraic operations:

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Here is the result verification in spreadsheet form: