How many solutions exist for the given equation?

3 (x - 2) = 22 - x

A. zero

B. one

C. two

D. infinitely many

the answer is B: one

step 1. distribute to get rid of the perenthises

you should end up with 3x-6=22-x

step 2. add x to both sides to get 22 by its self

you should now have 4x-6=22

step 3 add 6 to both sides

so now you should have 4x=28

step 3 divide 28 by 4

so you would end up with x=7 so the answer is one solution.