Distributive Property and Solving Equations

Distributive Property

100

2(3x+6)

6x+12

200

-(5x+8)

-5x-8

300

-5(4x-1)

-20x+5

400

14+3(x-2)

3x+8

500

15-(11x+2x-3)

-13x+18

Combining Like Terms

100

6x-18x

-12x

200

18+6x-20

6x-2

300

-9+14+10x-15x

-5x+5

400

16y+7xy-24y+18

-8y+7xy+18

500

30+13x-19x-50+4xy

-20-6x+4xy

One-Step Equations

100

(1/3)x=-5

x=-15

200

-1.12+x=6.5

x=7.62

300

(2/5)x=4

x=10

400

-0.4x=18

x=-45

500

x+(5/6)=2/3

x=-1/6

Two-Step Equations

100

2x+6=8

x=1

200

5x-6=19

x=5

300

(1/2)x -10=20

x=60

400

(2/5)x +6=8

x=5

500

(x/4) -12 =4

x=64

Multi-Step Distributive Equations

100

2(x+3)=10

x=2

200

5(x+9)=15

x=-6

300

3(-x-4)=9

x=-7

400

(1/2)(x+10)=8

x=6

500

-12(-5x-8)=-84

x=-3