Solving Equations
2Step Equation
After studying this lesson, you will be able to:
 Solve equations that require two steps.
Review of Steps for Solving Equations:
1. Remove parentheses by multiplying (this step is not always
necessary)
2. Collect like terms on each side of the equal sign
3. Isolate the variable by "undoing" the operation
(do this until the variable is by itself)
 "undo" addition and subtraction first
 next, "undo" multiplication and division
4. Check by substituting the solution into the original
equation
Example 1
3x + 4 = 10 
This equation will require 2 steps to
solve it 
3x + 4 4 = 10 4 
First, we need to "undo" +4 so
we subtract 4 from each side. This gives us 3x = 6


Now, we need to "undo" 3 times
x, so we divide each side by 3 
x = 2 
Now, we have the solution 
Check:
substitute 2 for x in the original equation
3 (2) + 4 = 10
6 + 4 = 10
10 = 10 (notice that it also required 2 steps to check)
Example 2
2x  6 = 12 
This equation will require 2 steps to
solve it 
2x  6 + 6 = 12 + 6 
First, we need to "undo" 6 so
we add 6 to each side This gives us 2x = 18


Now, we need to "undo" 2 times
x, so we divide each side by 2 
x = 9 
Now, we have the solution 
Check: substitute 9 for x in the original equation
2 (9) 6 = 12
18  6 = 12
12 = 12
Example 3

This equation will require 2 steps to
solve it 

First, we need to "undo" +9 so
we subtract 6 from each side This gives us


Now, we need to "undo" (which
is x divided by 4), so we multiply each each side by 4.

x = 12 
Now, we have the solution 
Check:
substitute 12 for x in the original equation
3 + 9 = 6
6 = 6
Example 4
