$$0.2 ( x + 1 ) - 0.3 ( x - 1 ) = 0.4 ( x + 5 )$$
$x=-3$
$$0.2x+0.2-0.3\left(x-1\right)=0.4\left(x+5\right)$$
$$0.2x+0.2-0.3x+0.3=0.4\left(x+5\right)$$
$$-0.1x+0.2+0.3=0.4\left(x+5\right)$$
$$-0.1x+0.5=0.4\left(x+5\right)$$
$$-0.1x+0.5=0.4x+2$$
$$-0.1x+0.5-0.4x=2$$
$$-0.5x+0.5=2$$
$$-0.5x=2-0.5$$
$$-0.5x=1.5$$
$$x=\frac{1.5}{-0.5}$$
$$x=\frac{15}{-5}$$
$$x=-3$$
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