$$\frac { x - 2 } { 3 } + \frac { x + 1 } { 8 } = \frac { 5 } { 6 }$$
$x=3$
$$8\left(x-2\right)+3\left(x+1\right)=20$$
$$8x-16+3\left(x+1\right)=20$$
$$8x-16+3x+3=20$$
$$11x-16+3=20$$
$$11x-13=20$$
$$11x=20+13$$
$$11x=33$$
$$x=\frac{33}{11}$$
$$x=3$$
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