Example 1
Linear equation 
Steps to solve equation 
The math behind the solution 
x + 4 = 1 
The first step is to get "x" on one side of the equation by subtracting 4 from both sides: 
x + 4  4 = 1  4 x = 3 
Example 2
Linear equation 
Steps to solve 
The math behind the solution 
3x  5 = 10 
The first step is to get "x" to one side of the equation by adding 5 to both sides: 
3x  5 + 5 = 10 + 5 3x = 15 

The second step is to divide both sides by 3 to get x by itself: 
3x / 3 = 15 / 3 

Check your work with the original equation: 
(3 * 5)  5 = 10 10 = 10 
Example 3 (using negative numbers
Linear equation 
Steps to solve 
The math behind the solution 
3x + 5 = 10 
The first step is to get "x" to one side of the equation by subtracting 5 from both sides: 
3x + 5  5 = 10  5 3x = 15 

Second step is to divide both sides by 3 to get x by itself: 
3x / 3 = 15 / 3 

Check your work with the original equation: 
(3 * 5) + 5 = 10 10 = 10 
Example 4 (two variables)
Linear equation 
Steps to solve 
The math behind the solution 
2x  2y = 4 
The first step is to get "x" on one side of the equation by adding 2y to both sides: 
2x  2y + 2y = 4 + 2y 

Second step is to divide both sides by 2 to get x by itself: 
2x / 2 = (4 + 2y) / 2 

Check your work with the original equation: 
2 * (2 + y)  2y = 4 