Question

1/6 - x/2 = - 2x/3 + 1/4​

Answer 1

$\LARGE\tt{} \dfrac{1}{6} - \dfrac{x}{2} = - \dfrac{2x}{3} + \dfrac{1}{4} \\ \\ \LARGE\tt{}12\left( \dfrac{1}{6} - \dfrac{x}{2} \right) = 12\left( - \frac{2x}{3} + \dfrac{1}{4} \right) \\ \\ \LARGE\tt{}12 \times \dfrac{1}{6} - 12 \times \dfrac{x}{2} = - 12 \times \dfrac{2x}{3} + 12 \times \dfrac{1}{4} \\ \\ \\ \LARGE\tt{}2 - 6x = - 4 \times 2x + 3 \\ \\ \LARGE\tt{}2 - 6x = - 8x + 3 \\ \\ \LARGE\tt{} - 6x + 8x = 3 - 2 \\\LARGE\tt{}2x = 1 \\ \\ \LARGE\tt{}x = \dfrac{1}{2} \\ \\ \LARGE\tt{} \boxed{x = \dfrac{1}{2} }$

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