$$0.2(x+1)-0.3(x-1)=09(x+5)$$
$x=5$
$$0.2x+0.2-0.3\left(x-1\right)=0\times 9\left(x+5\right)$$
$$0.2x+0.2-0.3x+0.3=0\times 9\left(x+5\right)$$
$$-0.1x+0.2+0.3=0\times 9\left(x+5\right)$$
$$-0.1x+0.5=0\times 9\left(x+5\right)$$
$$-0.1x+0.5=0\left(x+5\right)$$
$$-0.1x+0.5=0$$
$$-0.1x=-0.5$$
$$x=\frac{-0.5}{-0.1}$$
$$x=\frac{-5}{-1}$$
$$x=5$$
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