How do you solve 52x6=102xx6?

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 (x6).

If we multiply 5 by x6x6, all the components will be "combinable":

5x30x62x6=102xx6

Combine like-terms

(5x30)(2)x6=102xx6

Multiply by (x6) on both sides

5x302=102x

Simplify

5x32=102x

Add 2x to both sides

7x32=10

Add 32 to both sides

7x=42

Divide by 7 on both sides

x=6

Just to check our work, let's solve the equation, replacing x with 6:

5266=102×666

520=20

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