2 Solving Multi-Step Equations

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

What is the first step to solve this equation?
x - 5 = 7 - 2x

• Add 7 to both sides of the equation

• Add 2x to both sides of the equation

• Subtract 2x from both sides of the equation

• Subtract 5 from both sides of the equation

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the next step to solve this equation?
n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the first step to solve this equation?
k + 6 = -4k - 9 

• Add k to both sides of the equation

• Add 4k to both sides of the equation

• Subtract 9 from both sides of the equation

• Subtract 4k from both sides of the equation

What is the next step to solve this equation?
5k + 6 = -9

• Add 9 to both sides of the equation

• Add 6 to both sides of the equation

• Subtract 6 from both sides of the equation

• Subtract 5k from both sides of the equation

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the next step to solve this equation?
3x + 6 = 10 + 7x

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 7x to both sides of the equation

• Subtract 7x from both sides of the equation

What is the next step to solve this equation?
-4x + 6 = 10

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 4x to both sides of the equation

• Subtract 6 from both sides of the equation