Q2 of 80 Page 45

Solve the following equation:

5x – 12 = 2x – 6

Given equation: 5x – 12 = 2x – 6

⇒ 5x – 2x = -6 + 12 (Transposing 2x to LHS and 12 to RHS)


3x = 6


⇒ x = (Transposing 3 to RHS)


x = 2


∴ The solution of 5x – 12 = 2x – 6 is x = 2.


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A sum of ₨ 500 is in the form of denominations of ₨ 5 and ₨ 10. If the total number of notes is 90 find the number of notes of each denomination.

(Hint: let the number of 5 rupee notes be ‘x’, then number of 10 rupee notes = 90–x)

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7x – 5 = 2x

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8m + 9 = 7m + 8