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`

Solved Example 3

`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`

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Exercise: One-step linear equations