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Linear Equations — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSLinear Equations1 Mark
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.
$-5$
$\text{5x}+\frac{7}{2}=\frac{3}{2}\text{x}-14$
$\Rightarrow\frac{10\text{x}+7}{2}=\frac{3\text{x}-28}{2}$
$\Rightarrow10\text{x}+7=3\text{x}-28$
$\Rightarrow10\text{x}-3\text{x}=-28-7$
$\Rightarrow7\text{x}=-35$
$\Rightarrow\text{x}=\frac{-35}{7}=-5$

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