Question

please solve
$\frac{x}{2} - 5 = \frac{x}{3} + \frac{1}{2}$
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Answer 1

Step-by-step explanation:

$\frac{x}{2} - 5 = \frac{x}{3} + \frac{1}{2} \\ \frac{x - 10}{2} = \frac{2x + 3}{6 } \\ x - 10 = \frac{2x + 3}{3} \\ 3x - 30 = 2x + 3 \\ 3x - 2x = 3 + 30 \\ x = 33ans$

it is answer

Answer 2

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Given :-

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

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To Find :-

Value of x.

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Solution :-

$\sf{ \frac{x}{2} - 5 = \frac{x}{3} + \frac{1}{2} } \\ \\ \bf{Taking \: LCM} \\ \\ \sf{ \frac{x - 10}{2} = \frac{2x + 3}{6} } \\ \\ \bf{By \: cross \: multiplication} \\ \\ \sf6(x - 10) = 2(2x + 3) \\ \\ \sf{6x - 60 = 4x + 6} \\ \\ \sf{6x -4 x = 6 + 66} \\ \\ \sf{2x = 66} \\ \\ \sf{x = \frac{66}{2} } \\ \\ \sf{x = 33}$

$\Huge{\star}{\boxed{\blue{\bf{x = 33}}}}{\star}$