Question 83837
{{{1/3-x/5=1/2-x/10 }}} Start with the given equation 
{{{1/3=1/2-x/10+x/5 }}} Add {{{x/5}}} to both sides
{{{1/3-1/2=-x/10+x/5 }}} Subtract {{{1/2}}} from both sides
{{{2/6-3/6=-x/10+2x/10 }}} Convert fractions to equivalent forms with equal denominators 
{{{-1/6=x/10 }}} Combine the fractions 
{{{10(-1/6)=x }}} Multiply both sides by {{{10}}} 
{{{-10/6=x }}} Multiply
{{{-5/3=x }}} Reduce


So we have the answer 

{{{x=-5/3}}}