1. Solve for x. Show each step of the solution.

4.5 (8-x) + 36=102-2.5 (3x+24)

Remember, you can do anything to an equation as long as you do it to both sides

minus 36 from both sides

4.5 (8-x) = 66-2.5 (3x+24)

distribute

36-4.5x=66-7.5x-60

add like terms

36-4.5x=-7.5x+6

add 7.5x to both sides

36+3x=6

minus 36 from both sides

3x=-30

divide both sides by 3

x=-10