$$\frac{ x-5 }{ 4 } - \frac{ 2x+5 }{ 8 } = \frac{ x+5 }{ 12 }$$
$x = -\frac{55}{2} = -27\frac{1}{2} = -27.5$
$$6\left(x-5\right)-3\left(2x+5\right)=2\left(x+5\right)$$
$$6x-30-3\left(2x+5\right)=2\left(x+5\right)$$
$$6x-30-6x-15=2\left(x+5\right)$$
$$-30-15=2\left(x+5\right)$$
$$-45=2\left(x+5\right)$$
$$-45=2x+10$$
$$2x+10=-45$$
$$2x=-45-10$$
$$2x=-55$$
$$x=\frac{-55}{2}$$
$$x=-\frac{55}{2}$$
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