$$3x-\frac{x-2}{3}=4-\frac{x-1}{4}$$
$x = \frac{43}{35} = 1\frac{8}{35} \approx 1.228571429$
$$36x-4\left(x-2\right)=48-3\left(x-1\right)$$
$$36x-4x+8=48-3\left(x-1\right)$$
$$32x+8=48-3\left(x-1\right)$$
$$32x+8=48-3x+3$$
$$32x+8=51-3x$$
$$32x+8+3x=51$$
$$35x+8=51$$
$$35x=51-8$$
$$35x=43$$
$$x=\frac{43}{35}$$
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