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: -5x + 3x + 6 = 20
(Property used: Distributive Property)
2. Combine like terms: -2x + 6 = 20
(Property used: Combining Like Terms)
3. Subtract 6 from both sides: -2x = 14
(Property used: Subtraction Property of Equality)
4. Divide by -2 to solve for x: x = -7
(Property used: Division Property of Equality)
Therefore, the solution to the equation -5x + 3(x + 2) = 20 is x = -7.