$$\frac{ 5x }{ 3 } - \frac{ (x-1) }{ 4 } = \frac{ (x-3) }{ 5 }$$
$x=-\frac{51}{73}\approx -0.698630137$
$$20\times 5x-15\left(x-1\right)=12\left(x-3\right)$$
$$100x-15\left(x-1\right)=12\left(x-3\right)$$
$$100x-15x+15=12\left(x-3\right)$$
$$85x+15=12\left(x-3\right)$$
$$85x+15=12x-36$$
$$85x+15-12x=-36$$
$$73x+15=-36$$
$$73x=-36-15$$
$$73x=-51$$
$$x=\frac{-51}{73}$$
$$x=-\frac{51}{73}$$
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