Solving Equations

How many solutions does this equation have?

1

3x+5=17

One Solution

x= 4

2

4x+7=2x+15

One Solution

x= 4

3

5(x−2)=5x−10

Infinite Solutions

4

2(3x+4)−5=6x+1

No Solutions

5

4(2x−3)+5=3(3x−2)+14

One Solution

x = -2

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

(x/2)+2 =-8

x= -20

4

(x/2)+8=10

x= 4

5

(x/3)-3=-3

x= 0

Mixed Equations

1

Solving Equations

x - 2 = 6

x = 8

2

Solving Equations

-5p + 1 = 6

p = -1

3

Solving Equations

2n+10 = 4

n = -3

4

Solving Equations

5(m-3) = 4

m = 19/5

5

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

1

Solving Equations

x + 3 + 3x = 7

x = 1

2

Solving Equations

5 + 5x - 1 = 29

x = 5

3

Solving Equations

-45 = 3x + 4 + 4x

x = -7

4

Solving Equations

14 = -(2a + 6) + 2

a= -9

5

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

1

4x - 2 = 3x + 5

x = 7

2

2(x - 4) = 5x + 4

x = -4

3

6x + 3 - 2x = 2x + 11

x = 4

4

9 - x = 6 + 2x

x = 1

5

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

Infinite Solutions