$$5x3=3x-5$$
$x=\frac{5\left(x_{3}+1\right)}{3}$
$$3x-5=5x_{3}$$
$$3x=5x_{3}+5$$
$$\frac{3x}{3}=\frac{5x_{3}+5}{3}$$
$$x=\frac{5x_{3}+5}{3}$$
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$x_{3}=\frac{3x}{5}-1$
$$5x_{3}=3x-5$$
$$\frac{5x_{3}}{5}=\frac{3x-5}{5}$$
$$x_{3}=\frac{3x-5}{5}$$
$$x_{3}=\frac{3x}{5}-1$$
