Answer
$x=-30$
Work Step by Step
We solve the equation:
$\displaystyle \frac{x-5}{2}-\frac{2x+5}{3}=\frac{5}{6}$
First we multiply through by 6:
$3(x-5)-2(2x+5)=5$
Then we distribute and solve for $x$:
$3x-15-4x-10=5$
$-x=30$
$x=-30$
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