$$\frac{4x-1}{3}-\frac{x}{8}=\frac{1}{2}$$
$x=\frac{20}{29}\approx 0.689655172$
$$8\left(4x-1\right)-3x=12$$
$$32x-8-3x=12$$
$$29x-8=12$$
$$29x=12+8$$
$$29x=20$$
$$x=\frac{20}{29}$$
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