Solving Equations

1 step equations

100

6x=54

x = 9

200

x/7 = -21

x = -147

300

x-20=102

x = 122

400

-39=x+11

x = -50

500

-19x=-380

x = 20

2 step equations

100

4n+3=15

n = 3

200

-470+2n=1100

n = 785

300

4x - 9 = 27

x = 4

400

- 8 + 7x = - 22

x = -2

500

x/4 + 5 = 11

x = 24

2 step equations (combining like terms)

100

- 2x + 6 - 3x = - 24

-5x + 6 = -24

x = 6

200

7 + 5x - 4x = 13

7 + 1x = 13

x = 6

300

54 = 6x + 6x - 6

54 = 12x - 6

x = 5

400

2x + 10 + 4x = - 14

6x + 10 = -14

x = -4

500

5x + 8 + 7x = - 112

12x + 8 = -112

x = -10

Distribution Property

100

- 5( - 2x + 1) = 5

10x - 5 = 5

x = 1

200

- 4(6x + 3) = 180

-24x - 12 = 180

x = -8

300

- 5(4x + 5) = 115

-20x - 25 = 115

x = -7

400

- 3( - 5x + 5) = 30

15x - 15 = 30

x = 3

500

4( - 2x + 9) = - 60

-8x + 36 = -60

x = 12

Multi-Step

100

3 + 4n = −7n + 3

n = 0

200

4r + 4r = 6 + 5r

r = 2

300

6m − 3 = −15 + 2m

m = -3

400

5(4n − 8) = 38 + 7n

n = 6

500

−4 + 4(x + 4) = x + 6

x = -2