Question

solve for x:x/2-1/5=x/3+1/4​

Answer 1

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$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

Taking LCM both sides

$\frac{5x - 2}{10} = \frac{4x + 3}{12}$

Doing cross multiplication

$12(5x - 2) = 10(4x + 3)$

$60x - 24 = 40x + 30$

By ordering we get,

$60x - 40x = 30 - 24$

$20x = 16$

$x = \frac{ \cancel{16} \: 4}{\cancel{20} \: 5} = \frac{4}{5}$

$\therefore{ \boxed{x = \frac{4}{5} }}$