Distributive Property and Combining Like Terms Equations

Use the Distributive Property

5(2x + 3)

• 10x + 3

• 10x + 15

• 25x

• 7x + 8

Solve the equation for x:
2x + 3x + 4 = 44

• x = 8

• x = 9

• x = 10

• x = 11

Solve the equation for x:
17 = 12x - 9x + 2x + 2

• x = 1

• x = 2

• x = 3

• x = 4

What has to be done BEFORE you start solving a basic two-step equation?

• distributive property, combining like terms, and getting the variables all on one side

• distibutive property, move the variables to one side, cimbine like terms

• distributive property, cancel the constants, get variables to one side

• distributive property, combine like terms, eliminate the constant

5n + 34 = -2 (1 - 7n)

• n = 4

• n = -4

• n = 23/34

• n = 36/19

2(4x - 3) - 8 = 4 + 2x

• x = 1

• x = 3

• x = 5/6

• x = -3

24a = -4(10 - a)

• a = -2

• a = 2

• a = 7/10

• a = -7/10

-3x + 6 = -3(x + 3)

• No solution

• all real numbers

• x = -9

• Identity

-6a -15 = -3(a - 7)

• one solution

• no solution

• infinitely many

• a = 12