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x\left(2a-3\right)-4y\left(2a-3\right)
Do the grouping 2ax-3x-8ay+12y=\left(2ax-3x\right)+\left(-8ay+12y\right), and factor out x in the first and -4y in the second group.
\left(2a-3\right)\left(x-4y\right)
Factor out common term 2a-3 by using distributive property.