Question

Find the value of x if the difference of one-third of (x + 7) and one-fifth of (3x - 2) is 3.

Answer 1

Given that:

`(1)/(3)(x + 7) - (1)/(5)(3x - 2)` = 3

Taking LCM,

`(5(x + 7) - 3(3x - 2))/(15)` = 3

⇒ On simplying and Cross  - multiplying, we get:
5x - 9x + 35 + 6 = 15 x 3
⇒ -4x + 41 = 45 
⇒ -4x = 4
⇒ x = -1.