Solving for Variables on Both Sides

30b + 53 ≥ 18b − 83

• b≥−11.3333

• b≥-14 2/3

• b>8

• -b<12

54x + 64 ≥ 49x + 59

• x≥−1

• x≤-1

• x>9

• x<-3

Solve:
11x + 16 < 43 + 2x

• x < 5

• x < 3

• x > 5

• x > 3

What is the first step you should take to solve this problem?

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

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 to both sides

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Put the Steps or solving Equations with Variables on both sides in order.

• Distribute

• + or - the constant

• Move the variables to one side

• Combine Like terms

• -6=3x-9

• 1=x

• 3=3x

• 2x-6=5x-9

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

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

• x = -6

• x = 6

• x = 3