<PRE><B>Question 147110</B>


{{{(1/2)x-5/3=-(1/2)x+19/4}}} Start with the given equation.



{{{12((1/cross(2))x-5/cross(3))=12(-(1/cross(2))x+19/cross(4))}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{6x-20=-6x+57}}} Distribute and multiply.



{{{6x=-6x+57+20}}} Add {{{20}}} to both sides.



{{{6x+6x=57+20}}} Add {{{6x}}} to both sides.



{{{12x=57+20}}} Combine like terms on the left side.



{{{12x=77}}} Combine like terms on the right side.



{{{x=(77)/(12)}}} Divide both sides by {{{12}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=77/12}}} 



Which approximates to {{{x=6.417}}} 


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