Question
Fill in the blank.$3x - 5 = 7 - x \Rightarrow x =$ _____.
✓
Answer
$3x - 5 = 7 - x \Rightarrow x =$ 3.
$3x - 5 = 7 - x$
$\Rightarrow 3x + x = 7 + 5$ [Transposing $x$ to the $L.H.S.$ and $5$ to the $R.H.S$]
$\Rightarrow 4x = 12$
$\Rightarrow\frac{\text{4x}}{4}=\frac{12}{4}$
$x = 3$
$3x - 5 = 7 - x$
$\Rightarrow 3x + x = 7 + 5$ [Transposing $x$ to the $L.H.S.$ and $5$ to the $R.H.S$]
$\Rightarrow 4x = 12$
$\Rightarrow\frac{\text{4x}}{4}=\frac{12}{4}$
$x = 3$
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