Question 952654
-4+h/3 = h+2

I want to get rid of the fractions so what do I do: I multiply the whole equation by the GCF of the denominators of the fractions. See how it works:

4/8 + 3/2 x = 8

What is the GCF of 8 and 2? It's 2 so this is how it should look:

2(4/8 + 3/2 x) = 2(8)

The parenthesis simply means that 2 is being multiplied to everything inside of it. So 2 times 4/8 + 2 times 3/2, etc. In this case, it is like this

-4+h/3 = h+2

So since there is only one denominator, we multiply everything by that number.

3(-4+h/3) = 3(h+2)

Simplify that and get:

-4 + h = 3h + 6

Which is:

-4 = 2h + 6

Which in simplified form is:

-10 = 2h

Which is: 

-5 = h

To check if this method works, we will substitute our answer back into the problem.

-5 = h

-4 + h/3  = h + 2

(-4 + -5)/3 = -5 + 2

-9 / 3 = -3

-3 = -3 

So it is true.