Question
Solve the following equation and verify the answer: $\frac{\text{3x}}{10}-4=14$
✓
Answer
$\frac{\text{3x}}{10}-4=14$
$\Rightarrow\frac{\text{3x}}{10}=14+4$(Transposing -$4 $to $R.H.S.)$
$\Rightarrow\frac{\text{3x}}{10}=18$
$\Rightarrow\frac{\text{3x}}{10}\times=18\times10$(Multiplying both sides by $10)$
$\Rightarrow3x=180$
$\Rightarrow\frac{\text{3x}}{3}=\frac{180}{3}$(Dividing both sides by $3)$
$\Rightarrow \text{x}=60$
So, $\text{x}=60$ is a solution of the given equation.
Check: Substituting $\text{x}=60$ in the given equation,
we get $\text{L.H.S.}=\frac{3\times60}{10}-4=(3\times6)-4$
$= 18 - 4 = 14$ and $R.H.S. = 14$
$\therefore$ When $x = 60$
we have $L.H.S. = R.H.S.$
$\Rightarrow\frac{\text{3x}}{10}=14+4$(Transposing -$4 $to $R.H.S.)$
$\Rightarrow\frac{\text{3x}}{10}=18$
$\Rightarrow\frac{\text{3x}}{10}\times=18\times10$(Multiplying both sides by $10)$
$\Rightarrow3x=180$
$\Rightarrow\frac{\text{3x}}{3}=\frac{180}{3}$(Dividing both sides by $3)$
$\Rightarrow \text{x}=60$
So, $\text{x}=60$ is a solution of the given equation.
Check: Substituting $\text{x}=60$ in the given equation,
we get $\text{L.H.S.}=\frac{3\times60}{10}-4=(3\times6)-4$
$= 18 - 4 = 14$ and $R.H.S. = 14$
$\therefore$ When $x = 60$
we have $L.H.S. = R.H.S.$
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