Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Variables on Both Sides

100

6r + 7 = 13 +7r

r = -6

200

13 - 4x = 1 - x

x = 4

300

-7x - 3x + 2 = -8x -8

x = 5

400

3(1 - 3x) = 2(-4x + 7)

x = -11

500

-8n + 4(1 + 5n) = -6n -14

n= -1

Equation Grab Bag

100

4(y - 2) + y = -13

y = -1

200

38 + 7k = 8(k + 4)

k = 6

300

-6(m + 1) + 18 = 24

m = -2

400

7k - 8 + 2(k + 12) = 52

k = 4

500

-6n - 20 = -2n + 4(1 - 3n)

n = 3

Surprise

100

5 + 6x - 4x = 2x + 8

No solution

200

4n - 40 = 7(-2n +2)

n = 3

300

4(-8x + 5) = -32x - 26

no solution

400

-3(x-1) + 8(x-3) = 6x + 7 - 5x

x=7

500

8x + 4(4x-3) = 4(6x+4) - 4

all real numbers