# How do you solve #-\frac { 3} { 2v - 12} + 2= - \frac { 3} { v - 6}#?

##### 3 Answers

Make the denominators common.

#### Explanation:

First make the denominators common. The common denominator is

this gives us

combine to get

add to get

now cross multiply

divide both sides by

add

#### Explanation:

Re-arrange the equation:

Make a common denominator and make equivalent fractions.

Simplify and cross-multiply.

or,

#### Explanation:

If you make all the denominators (bottom value) the same then you only need to consider the top values (numerators) to get the same answer.

Lets get rid of the negatives to start with.

Add

Add

We need to look for a common structure of the denominator that they can all share.

Note that

This is similar to the denominator of

Also note that 2 is the same as

If this is true then it is also true that:

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For the 'purists'

Multiply all of both sides by

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Add 18 to both sides

divide both sides by 4