Identify the Operation on the variable (addition, subtraction, multiplication, or division).
If it’s addition, use subtraction.
If it’s subtraction, use addition.
If it’s multiplication, use division.
If it’s division, use multiplication.
Use the Inverse Operation on both sides to isolate the variable.
Simplify to solve for the variable.
Check your answer.
Solve the equation.
Substitute your answer back into the original equation.
Check if both sides are equal.
If they are, your answer is correct!
Example:
Equation: x - 3 = 10
Solve: Add 3 to both sides to get x = 13
Substitute: Put 13 back into the equation in place of x :
13 - 3 = 10
Check:10 = 10 is true, so x = 13 is correct!
Let's Look At Some Examples
Equation: x - 4 = 9
Add 4 to both sides to isolate x.
x = 9 + 4
x = 13
Checking:
13 - 4= 9
9=9
Equation: x + 5 = 12
Subtract 5 to both sides to isolate x.
x = 5 - 12
x = 7
Checking:
7 + 5 = 12
12=12
Equation: 3x = 15
Divide 3 to both sides to isolate x.
x = 3 ÷ 15
x = 5
Checking:
3 x 5 = 15
15=15
Equation: x ÷ 6 = 8
Multiply 6 to both sides to isolate x.
x = 8 x 6
x = 48
Checking:
48 ÷ 6 =8
8=8