Y= (x + 2) / 3 - (x - 1)/ 5 -1 ?

Question

y= (x + 2) / 3 - (x - 1)/ 5 -1

I have a review packet to complete, and I can't remember how to simplify the problems. Do I cross multiply? Do I find a LCM or GCF? I really don't remember. Any help would be great.

(I know that the answer is x=1, I just can't remember how they got to that conclusion)

Is the case above the same situation as (x - 3) /25 = (x - 5) / 12

Thanks in advance!

Answer 1

0 = (x+2)/3  - (x-1)/5  - 1

Multiply all terms by 15

0 = 5(x+2) - 3(x-1) - 15

0 = 5x+10 - 3x + 3 - 15

0 = 2x - 2

2=2x

x=1