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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