MCQ
If $\frac{\text{x}+2}{\text{x}-2}=\frac{2}{3},$ then $x =$
- ✓$-10$
- B$10$
- C$\frac43$
- D$-\frac43$
As, $\frac{\text{x}+2}{\text{x}-2}=\frac{2}{3}$
$\Rightarrow3(\text{x}+2)=2(\text{x}-2)$ (By cross multiplication)
$\Rightarrow\text{3x}+6=2\text{x}-4$
$\Rightarrow\text{3x}-\text{2x}=-6+4 ($By transposing $2x$ to $L.H.S.$ and $6$ to $R.H.S.)$
$\therefore\text{x}=-10$
Hence, the correct alternative is option $(a).$
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