Question

if anyone can solve this gets a $10 gamestop card i already got the codeSolve for x. Show each step of the solution. 2.5(10 - x) + 10 = 72 – 1.5(5x + 12)

Answer 1

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.