Solving Equations With Variables On Both Sides!

Variables on Both Sides

100

3n - 15 = 7n + n

n=-3

200

4m + 8 = -13 + 7m

m=7

300

x + 3 = -6 + 4x

x = 3

400

1 - x = 16 - 4x

x = 5

500

1 - 3x = 3x + 1

x = 0

Variables on Both Sides w/Combining

100

4n - 1 = 6n + 8 -8n + 15

n = 4

200

6p + 2 + p - 3 = 8p - 8

p = 7

300

-13 + n + 5 +6 = 5 + 4n - 4

n = -1

400

4r + 8 + 5 = -15 - 3r

r = -4

500

3n + 4 + 14n = 4 - 32n

n = 0

Variables on Both Sides w/Distribution on One Side

100

-10 + 8m = -2(7m - 3) + 6

m = 1

200

-8(8b - 7) = -1 - 7b

b = 1

300

-13 + 6n = -7(5n - 4)

n = 1

400

6(r - 8) = 8r - 36

r = -6 

500

5(-2 - 3n) = -33 + 8n

n = 1

Review Sheet Problems

100

Question #5

no solution

200

Question #7

x = -64/7

300

Question #11

r = 1

400

Question #9

Identity or all real numbers

500

Question #16

k = 16/255

Review Sheet Problems

100

Question #1

26, 28, 30

200

Question #2

4.5 by 7.5

300

Question #3

10, 17

400

Question #4

RS: 14 hits; Y: 17 hits

500

Question #5

12, 13