$$\frac{ 2x+3 }{ 5 } - \frac{ 3 }{ 2 } \geq \frac{ x-1 }{ 5 }$$
$x\geq \frac{7}{2}$
$$2\left(2x+3\right)-15\geq 2\left(x-1\right)$$
$$4x+6-15\geq 2\left(x-1\right)$$
$$4x-9\geq 2\left(x-1\right)$$
$$4x-9\geq 2x-2$$
$$4x-9-2x\geq -2$$
$$2x-9\geq -2$$
$$2x\geq -2+9$$
$$2x\geq 7$$
$$x\geq \frac{7}{2}$$
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