Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the steps in solving −5x+3(x+2)=20 . Justify each step with an appropriate property.
Given: -5x + 3(x+2) = 20
1. Distribute the 3 into the parentheses:
-5x + 3x + 6 = 20
2. Combine like terms:
-2x + 6 = 20
3. Subtract 6 from both sides to isolate -2x:
-2x = 14
4. Divide by -2 to solve for x:
x = -7
Therefore, the solution to the equation -5x + 3(x+2) = 20 is x = -7.