Question
Solve the following equation and verify the answer: $3(x + 6) = 24$
✓
Answer
$3(x + 6) = 24$
$\Rightarrow\frac{3(\text{x}+6)}{3}=\frac{24}{3}$ (Dividing both sides by $3)$
$x + 6 = 8 $
$\Rightarrow x = 8 - 6$ (Transposing $6$ to $R.H.S.) $
$\Rightarrow x = 2 x = 2$ is a solution of the given equation.
Check: Substituting the value of $x = 2$ in the given equation,
we get $L.H.S. = 3(2 + 6 ) = 3 \times 8 = 24$ and $RH.S. = 24$
$\therefore$ When $x = 2$, we have $L.H.S. = R.H.S.$
$\Rightarrow\frac{3(\text{x}+6)}{3}=\frac{24}{3}$ (Dividing both sides by $3)$
$x + 6 = 8 $
$\Rightarrow x = 8 - 6$ (Transposing $6$ to $R.H.S.) $
$\Rightarrow x = 2 x = 2$ is a solution of the given equation.
Check: Substituting the value of $x = 2$ in the given equation,
we get $L.H.S. = 3(2 + 6 ) = 3 \times 8 = 24$ and $RH.S. = 24$
$\therefore$ When $x = 2$, we have $L.H.S. = R.H.S.$
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