Question

1/3(2x-1)-1/4(2x+1) =1/12(2-x)​

Answer 1

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=3}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}}$

$\tt: \implies \frac{1}{3} (2x - 1) - \frac{1}{4}(2x + 1) = \frac{1}{12} (2 - x)$

$\red{\underline \bold{To \: Find :}}$

$\tt: \implies value \: of \: x = ?$

• Given Question

$\tt:\implies \frac{1}{3} \times (2x - 1) - \frac{1}{4} \times (2x + 1) = \frac{1}{12} \times (2 - x)$

$\tt:\implies \frac{2x - 1}{3} - \frac{2x + 1}{4} = \frac{2 - x}{12}$

$\tt:\implies \frac{8x - 4 - (6x + 3)}{12} = \frac{2 - x}{12}$

$\tt:\implies \frac{8x - 4 - 6x - 3} {12} \times 12 = 2 - x$

$\tt:\implies 2x - 7 = 2 - x$

$\tt:\implies 2x + x = 2 + 7$

$\tt:\implies 3x = 9$

$\tt:\implies x = \frac{9}{3}$

$\green{\tt:\implies x = 3}$