Question
Solve the following equation and verify the answer: $5x - 3 = x + 17$
✓
Answer
$5x - 3 = x + 17$
$\Rightarrow 5x - x = 17 + 3$ [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 $4)$
$\Rightarrow x = 5$
So. $x = 5$ is a solution of the given equation.
Check: Substituting $x = 5$ in the given equation,
we get $L.H.S. = 5 \times 5 - 3 = 25 - 3 = 22 $
$R.H.S. 5 + 17 = 22$
$\therefore$ When $x = 5$, we have $L.H.S. = R.H.S.$
$\Rightarrow 5x - x = 17 + 3$ [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 $4)$
$\Rightarrow x = 5$
So. $x = 5$ is a solution of the given equation.
Check: Substituting $x = 5$ in the given equation,
we get $L.H.S. = 5 \times 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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