Remark
Forget the Gamestop. I'd never use it. This one is on the house.
Solution
2.5(10 - x) + 10 = 72 - 1.5x*(5x + 12) The first step is to remove the brackets. Be very careful you understand the bracket on the right.
25 - 2.5x + 10 = 72 - 7.5x - 18 Study the signs carefully. Collect like terms.
35 - 2.5x = 54 - 7.5x Add 7.5x to both sides.
35 - 2.5x + 7.5x = 54 - 7.5x + 7.5x
35 + 5x = 54 Subtract 35 from both sides.
5x = 19 Divide by 5
x = 19/5
x = 3 4/5 = 3.8
Check
When you numbers are so cumbersome, you should check the answer.
LHS
2.5(10 - 3.8) + 10
2.5(6.2) + 10
15.5 + 10
25.5
RHS
72 - 1.5(5*3.8 +12)
72 - 1.5(19 + 12)
72 - 1.5(31)
72 - 46.5
25.5
RHS = LHS The solution checks.
