$$\frac { x } { 2 } - \frac { 1 } { 4 } = \frac { x } { 3 } + \frac { 1 } { 2 }$$
$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$
$$6x-3=4x+6$$
$$6x-3-4x=6$$
$$2x-3=6$$
$$2x=6+3$$
$$2x=9$$
$$x=\frac{9}{2}$$
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