# How do you solve #5-2/(x-6) = (10-2x)/(x-6)#?

##### 1 Answer

May 29, 2017

no solution

#### Explanation:

Let's give everything the same denominator. Fortunately, two of the three components already share the same denominator

If we multiply

*Combine like-terms*

*Multiply by ( #x-6#) on both sides*

*Simplify*

*Add 2x to both sides*

*Add #32# to both sides*

*Divide by #7# on both sides*

Just to check our work, let's solve the equation, replacing

**Uh oh**! We're dividing by ZERO! that's illegal, so there are no solutions.