MCQ
If $2(2n + 5) = 3(3n - 10),$ then $n =$
- A$5$
- B$3$
- C$7$
- ✓$8$
✓
Answer
Correct option: D.
$8$
As, $2(2n + 5) = 3(3n - 10)$
$\Rightarrow 4n + 10 = 9n - 30$
$\Rightarrow 4n - 9n = -10 - 30 ($By transposing $10$ to $\text{R.H.S.}$ and 9n to $\text{L.H.S.})$
$\Rightarrow -5n = -40$
$\Rightarrow n = -40 - 5 ($By transposing $-5$ to $\text{R.H.S.)}$
$\therefore\text{n}=8$
Hence, the correct alternative is option $(d).$
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