Solving Equations

Two-step equations

100

2x+5=11

x=3

200

(x/3)+4=10

x=18

300

7x-9=26

x=5

400

-5x+12=-8

x=4

500

(3x-1)/2=10

x=7

Equations with fractions

100

(x/3) + 5 = 9

x = 12

200

(2x-1)/4 = 3

x = 6.5

300

(2x/5) - (1/2) = 5

x = 55/4 or 13.75

400

(2/3)r + (3/4) = (7/12)

r = -(1/4) or -0.25

500

(3/4)u + (1/2) = (7/8)

u=(1/2) or .5

Variables on both sides

100

3x + 4 = x + 10

x = 3

200

5x - 7 = 2x + 8

x = 5

300

6x + 2 = 4x + 12

x = 5

400

7x - 3 = 5x + 9

x = 6

500

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

8 = x

Identify the mistake

100

2x + 5 = 11

2x = 16

x = 8

Mistake was adding 5 - they should've subtracted 5

200

3(x-2)

3x + 6

6 should be negative - a positive times a negative equals a negative

300

6 - 2x - 1 = 4x + 8 - 6x - 3

7 - 2x = 2x + 11

They didn't combine like terms correctly

400

x - (2x + 5)

x - 2x + 5

-x + 5

They didn't distribute the negative to the 5

500

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

2x + 3 = 3x - 6 + 4 

2x + 3 = 3x - 2

x = 5

They did not distribute the 2 to the 3 in the first step