Question 336450


{{{(1/6)(a-4)=(1/3)(2a+4)}}} Start with the given equation.



{{{(1/6)a-2/3=(2/3)a+4/3}}} Distribute.



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



{{{a-4=4a+8}}} Distribute and multiply.



{{{a=4a+8+4}}} Add {{{4}}} to both sides.



{{{a-4a=8+4}}} Subtract {{{4a}}} from both sides.



{{{-3a=8+4}}} Combine like terms on the left side.



{{{-3a=12}}} Combine like terms on the right side.



{{{a=(12)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{a}}}.



{{{a=-4}}} Reduce.



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Answer:


So the solution is {{{a=-4}}} 



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