Answer
$x=1$
Work Step by Step
$3x-\frac{5x}{2}=\frac{x+1}{3}-\frac{1}{6}$
We multiply both sides by 6:
$18x-15x=2(x+1)-1$
We distribute and simplify:
$3x=2x+1$
And solve for $x$:
$x=1$
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