$$\frac{ 3x }{ 4 } - \frac{ (x-1) }{ 2 } = \frac{ (x-2) }{ 3 }$$
$x=14$
$$3\times 3x-6\left(x-1\right)=4\left(x-2\right)$$
$$9x-6\left(x-1\right)=4\left(x-2\right)$$
$$9x-6x+6=4\left(x-2\right)$$
$$3x+6=4\left(x-2\right)$$
$$3x+6=4x-8$$
$$3x+6-4x=-8$$
$$-x+6=-8$$
$$-x=-8-6$$
$$-x=-14$$
$$x=14$$
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