Solving Equations

How many solutions does this equation have?

100

3x+5=17

One Solution

x= 4

200

4x+7=2x+15

One Solution

x= 4

300

5(x−2)=5x−10

Infinite Solutions

400

2(3x+4)−5=6x+1

No Solutions

500

4(2x−3)+5=3(3x−2)+14

One Solution

x = -2

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

 (5x)/3 + 2 = - 8

x=-6

400

(3x)/5 - 2 + 10 

x= 20

500

x/3-3=-3

x= 0

Mixed Equations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

2n+10 = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

100

Solving Equations

x + 3 + 3x = 7

x = 1

200

Solving Equations

5 + 5x - 1 = 29

x = 5

300

Solving Equations

-45 = 3x + 4 + 4x

x = -7

400

Solving Equations

14 = -(2a + 6) + 2

a= -9

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

100

4x - 2 = -2(-2x + 5) + 8 

Infinite Solutions 

200

2(x - 4) = 5x + 4

x = -4

300

6x + 3 - 2x = -2x + 11 + 6x 

x = no solution 

400

9 - x = 6 + 2x

x = 1

500

6x - 15 + 4x = 5(2x - 3)

Infinite Solutions