Question 615516
{{{2x/3=x/6+5}}} Start with the given equation.



{{{6(2x/cross(3))=6(x/cross(6)+5)}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{4x=x+30}}} Distribute and multiply.



{{{4x-x=30}}} Subtract {{{x}}} from both sides.



{{{3x=30}}} Combine like terms on the left side.



{{{x=(30)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=10}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{x=10}}}