$$\frac { 2 } { x + 3 } = \frac { 3 } { 5 - x }$$
$x=\frac{1}{5}=0.2$
$$\left(x-5\right)\times 2=-\left(3+x\right)\times 3$$
$$2x-10=-\left(3+x\right)\times 3$$
$$2x-10=-3\left(3+x\right)$$
$$2x-10=-9-3x$$
$$2x-10+3x=-9$$
$$5x-10=-9$$
$$5x=-9+10$$
$$5x=1$$
$$x=\frac{1}{5}$$
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