Question 211666
{{{(2/3)(15-6a)=(5/6)(12a+8)}}} Start with the given equation.



{{{cross(6)^2(2/cross(3))(15-6a)=cross(6)(5/cross(6))(12a+8)}}} Multiply both sides by 6.



{{{4(15-6a)=5(12a+8)}}} Multiply and simplify.



{{{60-24a=60a+40}}} Distribute.



{{{-24a=60a+40-60}}} Subtract {{{60}}} from both sides.



{{{-24a-60a=40-60}}} Subtract {{{60a}}} from both sides.



{{{-84a=40-60}}} Combine like terms on the left side.



{{{-84a=-20}}} Combine like terms on the right side.



{{{a=(-20)/(-84)}}} Divide both sides by {{{-84}}} to isolate {{{a}}}.



{{{a=5/21}}} Reduce.



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Answer:


So the solution is {{{a=5/21}}} which approximates to {{{a=0.238}}}.