$$5\frac{(x+2)}{5}=\frac{6(x-2)}{4}$$
$x=10$
$$20\left(x+2\right)=5\times 6\left(x-2\right)$$
$$20x+40=5\times 6\left(x-2\right)$$
$$20x+40=30\left(x-2\right)$$
$$20x+40=30x-60$$
$$20x+40-30x=-60$$
$$-10x+40=-60$$
$$-10x=-60-40$$
$$-10x=-100$$
$$x=\frac{-100}{-10}$$
$$x=10$$
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