$$\frac{12x-3}{6}-\frac{3x-4}{7}=x-\frac{12}{13}$$
$x = -\frac{181}{104} = -1\frac{77}{104} \approx -1.740384615$
$$91\left(12x-3\right)-78\left(3x-4\right)=546x-504$$
$$1092x-273-78\left(3x-4\right)=546x-504$$
$$1092x-273-234x+312=546x-504$$
$$858x-273+312=546x-504$$
$$858x+39=546x-504$$
$$858x+39-546x=-504$$
$$312x+39=-504$$
$$312x=-504-39$$
$$312x=-543$$
$$x=\frac{-543}{312}$$
$$x=-\frac{181}{104}$$
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