$$\frac{x}{1}-\frac{x-5}{5}=\frac{x}{5}+\frac{4}{3}$$
$x=\frac{5}{9}\approx 0.555555556$
$$15x-3\left(x-5\right)=3x+20$$
$$15x-3x+15=3x+20$$
$$12x+15=3x+20$$
$$12x+15-3x=20$$
$$9x+15=20$$
$$9x=20-15$$
$$9x=5$$
$$x=\frac{5}{9}$$
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