Question 236498


{{{(1/2)x-1/10=(1/5)x+1/2}}} Start with the given equation.



{{{10((1/cross(2))x-1/cross(10))=10((1/cross(5))x+1/cross(2))}}} Multiply both sides by the LCD {{{10}}} to clear any fractions.



{{{5x-1=2x+5}}} Distribute and multiply.



{{{5x=2x+5+1}}} Add {{{1}}} to both sides.



{{{5x-2x=5+1}}} Subtract {{{2x}}} from both sides.



{{{3x=5+1}}} Combine like terms on the left side.



{{{3x=6}}} Combine like terms on the right side.



{{{x=(6)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the solution is {{{x=2}}}