MCQ
Tick $(\checkmark)$ the correct answer: If $5\text{x}+\frac{7}{1}=\frac{3}{2}\text{x}-14,$ then $\text{x} = ?$
- A$5$
- ✓$-5$
- C$6$
- D$-6$
✓
Answer
Correct option: B.
$-5$
$\text{5x}+\frac{7}{2}=\frac{3}{2}\text{x}-14$
$\Rightarrow\frac{10\text{x}+7}{2}=\frac{3\text{x}-28}{2}$
$\Rightarrow10\text{x}+7=3\text{x}-28$
$\Rightarrow10\text{x}-3\text{x}=-28-7$
$\Rightarrow7\text{x}=-35$
$\Rightarrow\text{x}=\frac{-35}{7}=-5$
$\Rightarrow\frac{10\text{x}+7}{2}=\frac{3\text{x}-28}{2}$
$\Rightarrow10\text{x}+7=3\text{x}-28$
$\Rightarrow10\text{x}-3\text{x}=-28-7$
$\Rightarrow7\text{x}=-35$
$\Rightarrow\text{x}=\frac{-35}{7}=-5$
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