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Example 2 : Solve 5x – 2 (2x – 7) = 2 (3x – 1) +
2
Solution: Let us open the brackets,

LHS = 5x – 4x + 14 = x + 14

7
4
7
3
RHS = 6x – 2 + = 6x – + = 6x +
2 2 2 2
3
The equation is x + 14 = 6x +
2
3
or 14 = 6x – x +
2
3
or 14 = 5x +
2

3
or 14 – = 5x (transposing )
2
3
or 28 − − =5x
2 2
25
or = 5x (required solution)
2
5
1
or x = 25 × =
2 5 2

Example 3 : Solve −5 = −3
3 5
−5 −3
Solution: We have =
3 5

or 15( −5) = 15( −3) (Multiplying both sides by 15)
3 5
or 5( − 5) = 3 ( − 3)

or 5x -25 = 3x -9

or 5x -3x = 25 -9

or 2x = 16

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