$$3x-5- \frac{ 5x-1 }{ 4 } = \frac{ 9x-2 }{ 3 } - \frac{ x-3 }{ 9 }$$
$x = -\frac{159}{41} = -3\frac{36}{41} \approx -3.87804878$
$$108x-180-9\left(5x-1\right)=12\left(9x-2\right)-4\left(x-3\right)$$
$$108x-180-45x+9=12\left(9x-2\right)-4\left(x-3\right)$$
$$63x-180+9=12\left(9x-2\right)-4\left(x-3\right)$$
$$63x-171=12\left(9x-2\right)-4\left(x-3\right)$$
$$63x-171=108x-24-4\left(x-3\right)$$
$$63x-171=108x-24-4x+12$$
$$63x-171=104x-24+12$$
$$63x-171=104x-12$$
$$63x-171-104x=-12$$
$$-41x-171=-12$$
$$-41x=-12+171$$
$$-41x=159$$
$$x=\frac{159}{-41}$$
$$x=-\frac{159}{41}$$
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