Question 499723
{{{5x-1/2=4-x/2}}} Start with the given equation.



{{{2(5x-1/cross(2))=2(4-x/cross(2))}}} Multiply both sides by the LCD {{{2}}} to clear any fractions.



{{{10x-1=8-1x}}} Distribute and multiply.



{{{10x=8-x+1}}} Add {{{1}}} to both sides.



{{{10x+x=8+1}}} Add {{{x}}} to both sides.



{{{11x=8+1}}} Combine like terms on the left side.



{{{11x=9}}} Combine like terms on the right side.



{{{x=(9)/(11)}}} Divide both sides by {{{11}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=9/11}}}