Question

x/2-1/5=x/3+1/4what is the solution​

Answer 1

Answer:

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Answer 2

Answer:

$\huge \sf \underline{given \ \: : }$

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

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

$\fbox{ \: lcm \: of \: 4.5 \: is \: 20}$

$\sf\frac{x}{2} = \frac{x}{3} + \frac{5}{20} + \frac{4}{20}$

$\sf \to \frac{x}{2} = \frac{x}{3} + \frac{5 + 4}{20}$

$\to \sf \frac{x}{2} - \frac{x}{3} = \frac{9}{20}$

$\fbox{lcm \: of \: 2.3 \: is \: 6}$

$\to \sf\frac{2x - 3x}{6} = \frac{9}{20}$

$\sf \to \frac{ - x}{6} = \frac{9}{20}$

$\sf \to - x = \frac{9}{10} \times 6$

$\sf \to - x = \frac{27}{10}$

$\sf \to \: x = \frac{27}{ - 5}$

${\red{ \fbox{x \: = \: - 2.7}}}$

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