$$ \frac2(x+1)3(x-2) + \frac4x = \frac41$$
$m.c.m. \longrightarrow 3\cdot (x-2) \cdot x$
$$ \fracx \cdot 2(x+1)3(x-2)x + \frac3(x-2) \cdot 43(x-2)x = \frac3(x-2)x \cdot 43(x-2)x$$
$$ x \cdot 2(x+1) + 3(x-2) \cdot 4 = 3(x-2)x \cdot 4$$
$$2x^2+2x +12x-24 = 12x^2-24x$$
$$-10x^2+38x-24=0$$ (…)