Question
$\text{x}-\frac{1}{3}=\frac{2}{3}$
✓
Answer
$\text{x}-\frac13=\frac23$
Adding $\frac13$ to both sides, we get
$\text{x}-\frac13+\frac13=\frac23+\frac13$
$\Rightarrow\text{x}=\frac23+\frac13$
$\Rightarrow\text{x}=\frac33$
$\Rightarrow\text{x}=1$
Verification:
Substituting x = 1 in L.H.S., we get
$\text{L.H.S.}=1-\frac{1}{3}=\frac{3-1}{2}=\frac{2}{3},$ and $\text{R.H.S.}=\frac23$
$\text{L.H.S.}= \text{R.H.S.}$
Hence, verified.
Adding $\frac13$ to both sides, we get
$\text{x}-\frac13+\frac13=\frac23+\frac13$
$\Rightarrow\text{x}=\frac23+\frac13$
$\Rightarrow\text{x}=\frac33$
$\Rightarrow\text{x}=1$
Verification:
Substituting x = 1 in L.H.S., we get
$\text{L.H.S.}=1-\frac{1}{3}=\frac{3-1}{2}=\frac{2}{3},$ and $\text{R.H.S.}=\frac23$
$\text{L.H.S.}= \text{R.H.S.}$
Hence, verified.
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