1.3 Solving Equations with Variables on Both Sides

m - 4 = 2m

• m = 4

• m = 8

• m = -4

• m = 2

12(2w - 3) = 6w

• w = 2

• w = -2

• w = 4

• w = 1

2(4z - 1) = 3(z + 2)

• z = 5

• z = 8

• z = 8/5

• z = 5/8

1/6d + 2/3 = 1/4(d - 2)

• d = 2

• d = 12

• d = 12/14

• d = 14

x + 6 = x

• x = -6

• x = 6

• no solution

• infinite solutions

4x - 9 = 3.5x - 9

• x = 0

• no solution

• x = 9

• x = -18

3x + 15 = 3(x + 5)

• no solution

• x = 3

• infinite solutions

• x = 5

5x - 7 = 4x - 1

• x = 1

• x = 6

• x = 7

• x = 0

1/2g = 4g - 21

• g = -6

• g = 6

• g = 21/5

• g = 21/2

3(b + 5) = 4(2b - 5)

• b = 5

• b = 0

• b = 7

• b = -5