$$\frac{x-5}{3}=\frac{x(-3}{5}$$
$x = \frac{25}{14} = 1\frac{11}{14} \approx 1.785714286$
$$5\left(x-5\right)=3x\left(-3\right)$$
$$5x-25=3x\left(-3\right)$$
$$5x-25=-9x$$
$$5x-25+9x=0$$
$$14x-25=0$$
$$14x=25$$
$$x=\frac{25}{14}$$
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