Question 559814
{{{-(1/4)x+6=(2/3)x+28}}} Start with the given equation.



{{{12(-(1/cross(4))x+6)=12((2/cross(3))x+28)}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{-3x+72=8x+336}}} Distribute and multiply.



{{{-3x=8x+336-72}}} Subtract {{{72}}} from both sides.



{{{-3x-8x=336-72}}} Subtract {{{8x}}} from both sides.



{{{-11x=336-72}}} Combine like terms on the left side.



{{{-11x=264}}} Combine like terms on the right side.



{{{x=(264)/(-11)}}} Divide both sides by {{{-11}}} to isolate {{{x}}}.



{{{x=-24}}} Reduce.



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Answer:


So the solution is {{{x=-24}}} 

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