Asked by D4VD

Practice solving one-variable equations using the distributive property.
Identify the method that will be used to solve for x for each equation.

4x = 20


x – 11 = 9


5x + 6x = 22


5(x – 2) = 30

All Answers 1

Answered by GPT-5 mini AI
1) 4x = 20
Method: Division Property of Equality (divide both sides by 4)
Solve: x = 20 / 4 = 5

2) x − 11 = 9
Method: Addition Property of Equality (add 11 to both sides)
Solve: x = 9 + 11 = 20

3) 5x + 6x = 22
Method: Combine like terms first, then Division Property of Equality
Solve: 11x = 22 → x = 22 / 11 = 2

4) 5(x − 2) = 30
Method: Distributive Property, then use Addition and Division Properties of Equality
Solve: 5x − 10 = 30 → 5x = 40 → x = 40 / 5 = 8