Question

Justify each step of the solution by starting the property that was used to get each step.

Given: 4.5(8-x)+36=102-2.5(3x+24)
Step 1: 36-4.5x+36=102-7.5x-60
Step 2: 72-4.5x=42-7.5x
Step 3: 72+3x=42
Step 4: 3x=-30
Step 5: x=-10

Answer 1

Justify each step of the solution by stating the property that was used to get to each step.

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

Step 1: 36-4.5x+36=102-7.5x-60 Distributive Property

Step 2: 72-4.5x=42-7.5x Combine Like Terms

Step 3: 72+3x=42 Addition Property of Equality

Step 4: 3x=-30 Subtraction Property of Equality

Step 5: x=-10 Division Property of Equality

Explanation: