Multistep Equations

Variables on Both Sides

100

6x+3=x+28

x = 5

200

8-2c=2c

c = 2

300

3k-15=-k+1

k = 4

400

14+3a=-2a-1

a = -3

500

9x+6=6x-9

x = -5

Variables on Both Sides with Distribution

100

-6(3-6r)=-18+4r

r = 0

200

2(a-2)=3(a-5)

a = 11

300

3(d+2)=5(d-6)

d = 18

400

16(z+3)=4(z+9)

z = -1

500

7(x+2)=2(x+2)

x = -2

Variables on Both Sides with Like Terms

100

12p=p+81+2p

p = 9

200

5+2y-12=y+9

y = 16

300

3+5n=1+8n+2

n = 0

400

4(3b-1)=9-b

b = 1

500

-8(4+4n)=8(n+6)

n = -2

Variables on Both Sides with Distribution and Like Terms

100

16-2n=-8+4(n-3)

n = 6

200

12y+5(y-6)=4

y = 2

300

5-(8v+5)=-4(1+3v)

v = -1

400

-6x+7(1-x)=-4(x-4)

x = -1

500

3(a-6)=-5a-7-3a

a = 1

1, Infinite, or No Solutions

100

The number of solutions for  x+3 = 2x + 3.

What is 1 solution.

200

The number of solutions for 7x + 3 = 5x -8 - 5 + 2x.

What is infinite solutions?

300

The number of solutions for 5(2x + 5) = 2(5x -12).

What is no solution?

400

The number of solutions for 1.2x + 1 = 0.4(0.3x +1).

What is one solution?

500

The number of solutions for 4 (2x + 3) = 16x + 3 - 8x + 9.

What is infinite solutions?