$$\frac { x + 1 } { 2 } = \frac { x - 1 } { 3 }$$
$x=-5$
$$3\left(x+1\right)=2\left(x-1\right)$$
$$3x+3=2\left(x-1\right)$$
$$3x+3=2x-2$$
$$3x+3-2x=-2$$
$$x+3=-2$$
$$x=-2-3$$
$$x=-5$$
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