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2x\left(a+2\right)-3\left(a+2\right)
Do the grouping 2ax+4x-3a-6=\left(2ax+4x\right)+\left(-3a-6\right), and factor out 2x in the first and -3 in the second group.
\left(a+2\right)\left(2x-3\right)
Factor out common term a+2 by using distributive property.