Question

if x-5/2 - x-3/5=1/2, find x​

Answer 1

$\bf{\underline{\underline{Given:-}}}$

$\sf{\frac{x-5}{2} - \frac{x-3}{5}\:= \frac{1}{2}}$

$\bf{\underline{\underline{Solution:-}}}$

$\sf{\frac{x-5}{2} - \frac{x-3}{5}\:= \frac{1}{2}}$

$\bf{\boxed{LCM\:OF\: (2,5)\: =\:10}}$

$\sf{\frac{5({x-5})\: - 2\:({x-3})}{10}\:= \frac{1}{2}}$

$\sf{5({x-5})\: - 2\:({x-3})}\:\:\:\:\:\:\:=\: \frac{10}{2}$

$\sf{5x-25-2x+6}\:= \frac{\cancel 10}{\cancel 2}$

$\sf{3x-19}\:= \:{5}$

$\sf{3x}\: = \: {5+19}$

$\sf{3x}\:= \:{24}$

$\sf{x}\:= \: \frac{24}{3}$

$\sf{x}\:= \: \frac{\cancel 24}{\cancel 3}$

$\sf{x}\:= \:{8}$

$\bf{\underline{\underline{Thanks}}}$