Question
Solve the following equation and verify the answer:
6(1 - 4x) + 7(2 + 5x) = 53
6(1 - 4x) + 7(2 + 5x) = 53
✓
Answer
6(1 - 4 x) + 7(2 + 5x) - 53 ⇒ 6 - 24x + 14 + 35x = 53 (Removing brackets) ⇒ -24x + 35x + 14 + 6 = 53 ⇒ 11x + 20 = 53 ⇒ 11x = 53 - 20 ⇒ 11x = 33 (Transposing 20 to R.H.S.) $\Rightarrow\frac{\text{11x}}{11}=\frac{33}{11}$(Dividing both sides by 11)
⇒ x = 3 So, x = 3 is a solution of the given equation. Check: Substituting x = 3 in the given equation, we get, L.H.S. = 6 (1 - 4 × 3) + 7(2 + 5 × 3) = 6(1 - 12) + 7(2 + 15) = 6 × (-11) + 7 × 17 = -66 + 119 = 53 = R.H.S. $\therefore$ When x = 3, we have L.H.S. = R.H.S.
⇒ x = 3 So, x = 3 is a solution of the given equation. Check: Substituting x = 3 in the given equation, we get, L.H.S. = 6 (1 - 4 × 3) + 7(2 + 5 × 3) = 6(1 - 12) + 7(2 + 15) = 6 × (-11) + 7 × 17 = -66 + 119 = 53 = R.H.S. $\therefore$ When x = 3, we have L.H.S. = R.H.S.
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