Solving Multi-Step Equations with Distributive Property

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

• infinite solutions

• x = 1

• x = -1

• no solution

6 (-6 -5v) = 84

• -3

• -5

• -4

• 3

3x + 15 = 3(x + 5)

• No Solution

• x = 15

• all real numbers (infinite)

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

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

Which of the equations has no solution?

• 2x + 1 = 5x - 3

• 2(x - 7) = 2x-14

• 3(2x+1) = 6x+1

• 15x - 30 = 0

3(2x+5)=39

• x = 4

• x = 5

• x = 3

• x = -2

Solve for the variable t in the following equation: 2(t + 6) + 3 = 9 + 5t

• t = 16

• t = 2

• t = -8

• t = -10

Solve the equation.

2(x - 4) =18

• x = 20

• x = 7

• x = 11

• x = 13

What is the firs step in solving for the variable?

• Distributive property

• Combine Like Terms

• Move the variables to the same side

• Solve for the variable

2(x + 3) = 14

• x = 4

• x = 2

• x = -2

• x = 3