Two Step Equations and Variables on Both Sides

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

-12(x - 1) = -3(x - 1)

• 10

• 1

• 14

• 23

The goal of solving a one, two, or multi-step equations is to:

• Find the value of the variable

• Find the constant

• Be confused

• Find the coefficient

Which statement best describes the first step to the equation?

-11- 3x = 44 - 2x

• Add 3 to both sides

• Add 11 to both sides

• Get the variables on one side

• Add 2 to both sides

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

Solve the equation
12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2

6x + 10 = 2(3x + 4)

• x = 0

• x = 2

• No solutions

• Infinite solutions

7x = 4x + 33

• x = 3

• x = 11

• x = 21

• x = 88

• Combining  $-14x$  and  $3x$  to get  $-11x.$  

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

Solve for x:

3x - 7 = -5x + 17

• x = 5

• x = 12

• x = 3

• x = 1.2