Given 5 (2 – 3x) -17 (2x – 5) = 16
On expanding the brackets, we get
(5 × 2) – (5 × 3x) – (17 × 2x) + (17 × 5) = 16
10 – 15x – 34x + 85 = 16
10 + 85 – 34x – 15x = 16
95 – 49x = 16
Subtracting 95 from both sides, we get
– 49x + 95 – 95 = 16 – 95
– 49x = -79
Dividing both sides by – 49, we get
– 49x/ -49 = -79/-49
x = 79/49
Verification:
Substituting x = (79/49) in LHS we get,
5 (2 – 3 × (79/49) – 17 (2 × (79/49) – 5) = 16
(5 × 2) – (5 × 3 × (79/49)) – (17 × 2 × (79/49)) + (17 × 5) = 16
10 – (1185/49) – (2686/49) + 85 = 16
(490 – 1185 – 2686 + 4165)/49 = 16
784/49 = 16
16 = 16
Therefore LHS = RHS
Hence, verified.
