$$4\frac{1-x}{1+x}=4\frac{1}{3}$$
$x=-\frac{1}{25}=-0.04$
$$4\times 3\left(1-x\right)=\left(x+1\right)\left(4\times 3+1\right)$$
$$12\left(1-x\right)=\left(x+1\right)\left(4\times 3+1\right)$$
$$12-12x=\left(x+1\right)\left(4\times 3+1\right)$$
$$12-12x=\left(x+1\right)\left(12+1\right)$$
$$12-12x=\left(x+1\right)\times 13$$
$$12-12x=13x+13$$
$$12-12x-13x=13$$
$$12-25x=13$$
$$-25x=13-12$$
$$-25x=1$$
$$x=\frac{1}{-25}$$
$$x=-\frac{1}{25}$$
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