Question
$\frac{\text{x}}{2}=\frac{\text{x}}{3}+1$
✓
Answer
$\frac{\text{x}}{2}=\frac{\text{x}}{3}+1$
Transposing $\frac{\text{x}}{2}$ to L.H.S., we get
$\frac{\text{x}}{2}-\frac{\text{x}}{3}=1$
$\frac{\text{3x}-2\text{x}}{6}=1$
$\frac{\text{x}}{6}=1$
Multiplying both sides by 6, we get
$\frac{\text{x}}{6}\times6=1\times6$
$\text{x}=6$
Verification:
Substituting x = 6 in the given equation, we get
$\frac{6}{6}=\frac63+1$
$3=2+1$
$3=3$
$\text{L.H.S.}=\text{R.H.S.}$
Hence, verified.
Transposing $\frac{\text{x}}{2}$ to L.H.S., we get
$\frac{\text{x}}{2}-\frac{\text{x}}{3}=1$
$\frac{\text{3x}-2\text{x}}{6}=1$
$\frac{\text{x}}{6}=1$
Multiplying both sides by 6, we get
$\frac{\text{x}}{6}\times6=1\times6$
$\text{x}=6$
Verification:
Substituting x = 6 in the given equation, we get
$\frac{6}{6}=\frac63+1$
$3=2+1$
$3=3$
$\text{L.H.S.}=\text{R.H.S.}$
Hence, verified.
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