Solving Equations Variable on Both Sides

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

• 800m - 6 = 1000m - 10

• 800 + 6m = 1000m +10

• 800 - 6m =1000 - 10m

• 800m + 6 =1000 + 10m

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

• 5 + 0.20p = 7 + 0.30p

• 7 + 0.20p = 5 - 0.30p

• 7p + 0.20 = 5p + 0.30

• 7 + 0.20p = 5 + 0.30p

14p - 8 = 22 + 20p

• -5

• 5

• 30

Solve: 4x - 3 = 6x - 19

• x = -8

• x = 11

• x = -11

• x = 8

Solve: -3x + 20 = 2x - 40

• x = 15

• x = 12

• x = -15

• x = -12

Solve:
7x = 3x + 24

• 6

• 10

• 14

• 4

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Solve: 12x + 1 = 6x - 47

• x = 6

• x = -7

• x = -8

• x = 9

Solve: 3x + 16 = 7x + 64

• x = 10

• x = -10

• x = -11

• x = -12

Solve for x:
4(1-x) + 3x = -2(x+1)

• x = -6

• x = 6

• x = 3