Simplifying Linear Equations

Combining

100

3x + 4x

7x

200

8x - 5x 

3x

300

9x + 2 - 4x

5x + 2

400

8x + 2 +5x - 7

13x - 5

500

20x - 8 + 15x + 22

35x + 14

Moving

100

9x+6=4x+31

5x=25

200

4x+7+2x=25

6x=18

300

9x-5=4x+2x+25

3x=30

400

8x+7+4x=6x+37

6x=30

500

5x +4 = 2x + 3x +16

0=12

no solution

Distributing

100

2(x+3)

2x+6

200

4(x-2)

4x-8

300

2(2x+3)

4x+6

400

5(3x+2)

15x+10

500

5(4x-3)

20x-15

Distributing & Moving

100

2(x+3)+2x=16

4x=10

200

4(x+3)+x=27

5x=15

300

4(2x+5)-2x=38

6x=18

400

2(4x+3)+3x=41

11x=35

500

3(4x-2)+5x=52

17x=58

Fractions

100

x/2=6

x=12

200

x/2+3=9

x=12

300

2x/3+4=12

2x=24

400

4x/5+2=14

4x=60

500

3x/8+2=11

3x=72