Question 626727
{{{u/5+u/10-u/6=1}}}
Take LCD
{{{(6u+3u-5u)/30=1}}}
{{{(9u-5u)/30=1}}}
{{{4u/30=1}}}
{{{cross(4)u/cross(30)=1}}}
{{{2u/15=1}}}
Multiply by 15 both sides
{{{15(2u/15)=(1)(15)}}}
{{{cross(15)(2u/cross(15))=(1)(15)}}}
{{{2u=15}}}
Divide by 2 both sides
{{{2u/2=15/2}}}
{{{cross(2)u/cross(2)=15/2}}}
{{{u=15/2}}}



Check
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{{{u/5+u/10-u/6=1}}}
Put
{{{u=15/2}}}
{{{((15/2)/5)+((15/2)/10)-((15/2)/6)=1}}}
{{{(15/2)(1/5)+(15/2)(1/10)-(15/2)(1/6)=1}}}

{{{(cross(15)/2)(1/cross(5))+(cross(15)/2)(1/cross(10))-(cross(15)/2)(1/cross(6))=1}}}

{{{(3/2)+(3/2)(1/2)-(5/2)(1/2)=1}}}

{{{3/2+3/4-5/4=1}}}

{{{3/2+3/4-5/4=1}}}
Take LCD
{{{(6+3-5)/4=1}}}
{{{(9-5)/4=1}}}
{{{4/4=1}}}
{{{cross(4)/cross(4)=1}}}
{{{1=1}}}