x4 x2 = 3 12 x3 ⇒x 2x4 + x3 = 72 ⇒ 3x + 4x12 = 72 ⇒x12 = 72 ⇒ x = 7 × 122 = 42 ...

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Solving Equations with Variables on Both Sides

Solve: x4-x2...

Question

Solve:
$\frac{x}{4} - \frac{x}{2} = 3 \frac{1}{2} - \frac{x}{3}$

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Solution

$\frac{x}{4} - \frac{x}{2} = 3 \frac{1}{2} - \frac{x}{3}$

$\Rightarrow \frac{x - 2 x}{4} + \frac{x}{3} = \frac{7}{2}$

$\Rightarrow \frac{- 3 x + 4 x}{12} = \frac{7}{2}$

$\Rightarrow \frac{x}{12} = \frac{7}{2}$

$\Rightarrow x = \frac{7 \times 12}{2} = 42$

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