Question

$2x \div 3 - x \div 2 = x \div 4 - 1 \div 2$
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Answer 1

Explanation:

$\sf \huge \underline \red{Answer:-}$

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

$\tt \implies \: \frac{2(2x) - 3(x)}{6} = \frac{2x - 4}{8}$

$\tt \implies \: \frac{4x - 3x}{6} = \frac{2x - 4}{8}$

$\tt \implies \: 8(4x - 3x) = 6(2x - 4)$

$\tt \implies \: 32x - 24x = 12x - 24$

$\tt \implies \: 32x - 24x - 12x = - 24$

$\tt \implies \: 32x - 36x = - 24$

$\tt \implies \: - 4x = - 24$

$\tt \implies \: x = \frac{ - 24}{ - 4}$

$\tt \implies \: x = 6$