$$2- \frac{ 3x+4 }{ 5 } \geq 4x- \frac{ 1+2x }{ 3 }$$
$x\leq \frac{23}{59}$
$$30-3\left(3x+4\right)\geq 60x-5\left(1+2x\right)$$
$$30-9x-12\geq 60x-5\left(1+2x\right)$$
$$18-9x\geq 60x-5\left(1+2x\right)$$
$$18-9x\geq 60x-5-10x$$
$$18-9x\geq 50x-5$$
$$18-9x-50x\geq -5$$
$$18-59x\geq -5$$
$$-59x\geq -5-18$$
$$-59x\geq -23$$
$$x\leq \frac{-23}{-59}$$
$$x\leq \frac{23}{59}$$
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