Distributive Property and Combining like terms

Distributive Property

200

4(3x-2)=52

4(3x-2)=52

12x-8=52

+8     +8

12x=60

12x/12=60/12

x=5

400

9(9+2x)=261

9(9+2x)=261

81+18x=261

-81          -81

18x=180

18x/18=180/18

x=10

600

10(x-9)=-10

10(x-9)=-10

10x-90=-10

      +90  +90

10x=80

10x/10=80/10

x=8

800

6(x-4)=36

6(x-4)=36

6x-24=36

+24   +24

6x/6=60/6

x=10

1000

10(2x-8)=100

10(2x-8)=100

20x-80=100

     +80  +80

20x=180

20x/20=180/20

x=9

Combining like terms

200

5x-2x=30

5x-2x=30

3x=30

3x/3=30/3

x=10

400

9x+3x-4=56

9x+3x-4=56

12x-4=56

     +4 +4

12x=60

12x/12=60/12

x=5

600

8x-2x+6x=99

8x-2x+6x=99

6x+6x=99

12x=99

12x/12=99/12

x=8.25

800

4x+5x-3x=24

4x+5x-3x=24

9x-3x=24

6x=24

6x/6=24/6

x=4

1000

6x-8x+3=-15

6x-8x+3=-15

-2x+3=-15

     -3   -3

-2x=-18

-2x/-2=-18/-2

x=9

Distributive Property and Combining like terms

200

9x-5(x+3)=39

9x-5(x+3)=39

9x-5x+15=39

4x+15=39

     -15 -15

4x=24

4x/4=24/4

x=6

400

29x-2(4x-9)=24

29x-2(4x-9)=24

29x-8x-18=24

21x-18=24

    +18 +18

21x=42

21x/21=42/21

x=2

600

10(x-3x)+100=0

10(x-3x)+100=0

10x-30x+100=0

-20x+100=0

     -100    -100

-20x=-100

-20x/-20=-100/-20

x=5

800

8-3(2x+4x)=20

8-3(2x+4x)=20

8-6x+4x=20

8-10x=20

-8      -8

-10x=12

-10x/-10=12/-10

x=-1.2

1000

7x+9(x+3)=91

7x+9(x+3)=91

7x+9x+27=91

16x+27=91

-27       -27

16x=64

16x/16=64/16

x=4