<PRE><B>Question 256146</B>


{{{2x/3-1/2=x/5+1/5}}} Start with the given equation.



{{{30(2x/cross(3)-1/cross(2))=30(x/cross(5)+1/cross(5))}}} Multiply both sides by the LCD {{{30}}} to clear any fractions.



{{{20x-15=6x+6}}} Distribute and multiply.



{{{20x=6x+6+15}}} Add {{{15}}} to both sides.



{{{20x-6x=6+15}}} Subtract {{{6x}}} from both sides.



{{{14x=6+15}}} Combine like terms on the left side.



{{{14x=21}}} Combine like terms on the right side.



{{{x=(21)/(14)}}} Divide both sides by {{{14}}} to isolate {{{x}}}.



{{{x=3/2}}} Reduce.



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Answer:


So the solution is {{{x=3/2}}} 
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