$$\frac{13x-4}{7}=\frac{17x-3}{14}$$
$x=\frac{5}{9}\approx 0.555555556$
$$2\left(13x-4\right)=17x-3$$
$$26x-8=17x-3$$
$$26x-8-17x=-3$$
$$9x-8=-3$$
$$9x=-3+8$$
$$9x=5$$
$$x=\frac{5}{9}$$
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