$$\frac{ x+4 }{ 5 } - \frac{ 3x-1 }{ 2 } \leq 2(x-1)$$
$x\geq 1$
$$2\left(x+4\right)-5\left(3x-1\right)\leq 20\left(x-1\right)$$
$$2x+8-5\left(3x-1\right)\leq 20\left(x-1\right)$$
$$2x+8-15x+5\leq 20\left(x-1\right)$$
$$-13x+8+5\leq 20\left(x-1\right)$$
$$-13x+13\leq 20\left(x-1\right)$$
$$-13x+13\leq 20x-20$$
$$-13x+13-20x\leq -20$$
$$-33x+13\leq -20$$
$$-33x\leq -20-13$$
$$-33x\leq -33$$
$$x\geq \frac{-33}{-33}$$
$$x\geq 1$$
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