Given 0.5x + (x/3) = 0.25x + 7
(5/10) x + (x/3) = (25x/100) + 7
(x/2) + (x/3) = (x/4) + 7
Transposing (x/4) to LHS we get
(x/2) + (x/3) – (x/4) = 7
(6x + 4x – 3x)/12 = 7
(7x/12) = 7
Multiplying both sides by 12 we get
(7x/12) × 12 = 7 × 12
7x = 84
Dividing both sides by 7 we get
(7x/7) = (84/7)
x = 12
Verification:
Substituting x = 12 in given equation we get
0.5 (12) + (12/3) = 0.25 (12) + 7
6 + 4 = 3 + 7
10 = 10
Thus LHS = RHS
Hence, verified.
