Question 627732
{{{(3x +4)/(x -2) = 5/6}}} Start with the given equation



{{{6(3x +4) = 5(x -2)}}} Cross multiply



{{{18x+24=5x-10}}} Distribute.



{{{18x=5x-10-24}}} Subtract {{{24}}} from both sides.



{{{18x-5x=-10-24}}} Subtract {{{5x}}} from both sides.



{{{13x=-10-24}}} Combine like terms on the left side.



{{{13x=-34}}} Combine like terms on the right side.



{{{x=(-34)/(13)}}} Divide both sides by {{{13}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-34/13}}} 


So your answer is correct. However, there are a few issues in your steps (eg: you lost a negative sign somewhere, not sure where).


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