Question 339188
{{{4x/3-5/6=x/2-10}}} Start with the given equation.



{{{6(4x/cross(3)-5/cross(6))=6(x/cross(2)-10)}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{8x-5=3x-60}}} Distribute and multiply.



{{{8x=3x-60+5}}} Add {{{5}}} to both sides.



{{{8x-3x=-60+5}}} Subtract {{{3x}}} from both sides.



{{{5x=-60+5}}} Combine like terms on the left side.



{{{5x=-55}}} Combine like terms on the right side.



{{{x=(-55)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=-11}}} Reduce.



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Answer:


So the solution is {{{x=-11}}} 



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