Solve the following equation and verify the answer: 5x - 3 = x + … - Vidyadip

Question

Solve the following equation and verify the answer:
5x - 3 = x + 17

✓

Answer

5x - 3 = x + 17
⇒ 5x - x = 17 + 3
[Transporting x to L.H.S. -3 to R.H.S.]
$\Rightarrow4\text{x}=20\Rightarrow\frac{\text{4x}}{4}=\frac{20}{4}$
(Dividing both sides by 4)
⇒ x = 5
So. x = 5 is a solution of the given equation.
Check: Substituting x = 5 in the given equation, we get
L.H.S. = 5 × 5 - 3 = 25 - 3 = 22
R.H.S. 5 + 17 = 22
$\therefore$ When x = 5, we have L.H.S. = R.H.S.

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