## Pages

### One-step Linear Equations - Solved Examples

The following are some problems and their solutions of solving one-step linear equations.

### Solved Example 1

x + 6 = 7

### Solution

Write the original equation,
x + 6 = 7
Subtract 6 from both sides of the equation,
x + 6 - 6 = 7 - 6
Simplify the LHS and RHS,
x = 1
Thus, x = 1 is the answer to the equation x + 6 = 7

### Solved Example 2

x - 4 = 2

### Solution

Write the original equation,
x - 4 = 2
Add 4 to both sides of the equation,
x - 4 + 4 = 2 + 4
Simplify the LHS and RHS,
x =6
Thus, x = 6 is the answer to the equation x - 4 = 2

2x = 10

### Solution

Write the original equation,
2x = 10
Divide throughout by 2,
(2x)/2 = 10/2
Simplify the LHS and RHS,
x = 5
Thus, x = 5 is the answer to the equation 2x = 10

### Solved Example 4

2x = 10 + x

### Solution

Write the original equation,
2x = 10 + x
Subtract x from both sides of the equation,
2x - x = 10 + x - x
Simplify the LHS and RHS,
x = 10
Thus, x = 10 is the answer to the equation 2x = 10 + x

### Solved Example 5

x - 5 = -6

### Solution

Write the original equation,
x - 5 = -6
Add 5 to both sides of the equation,
x - 5 + 5 = -6 + 5
Simplify the LHS and RHS,
x = -1
Thus, x = -1 is the answer to the equation x - 5 = -6