Given (6x – 2)/9 + (3x + 5)/18 = (1/3)
(6x (2) – 2 (2) + 3x + 5)/18 = (1/3)
(12x – 4 + 3x + 5)/18 = (1/3)
(15x + 1)/ 18 = (1/3)
Multiplying both sides by 18 we get
(15x + 1)/18 × 18 = (1/3) × 18
15x + 1 = 6
Transposing 1 to RHS, we get
= 15x = 6 – 1
= 15x = 5
Dividing both sides by 15, we get
= 15x/15 = 5/15
=x = 1/3
Verification:
Substituting x = 1/3 both sides, we get
(6 (1/3) – 2)/9 + (3 (1/3) + 5)/18 = (1/3)
(2 – 2)/9 + (1 + 5)/ 18 = 1/3
(6/18) = (1/3)
(1/3) = (1/3)
Thus LHS = RHS
Hence, verified.
