$$\frac{8x-3}{7}=\frac{4+3x}{4}-7$$
$x = -\frac{156}{11} = -14\frac{2}{11} \approx -14.181818182$
$$4\left(8x-3\right)=7\left(4+3x\right)-196$$
$$32x-12=7\left(4+3x\right)-196$$
$$32x-12=28+21x-196$$
$$32x-12=-168+21x$$
$$32x-12-21x=-168$$
$$11x-12=-168$$
$$11x=-168+12$$
$$11x=-156$$
$$x=\frac{-156}{11}$$
$$x=-\frac{156}{11}$$
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