Answer
$$x=-2\quad \mathrm{or}\quad \:x=5$$
Work Step by Step
Using the rules of Algebra to solve the equation, we find:
$$\left|4x-6\right|=14 \\ 4x-6=-14\quad \mathrm{or}\quad \:4x-6=14 \\ x=-2\quad \mathrm{or}\quad \:x=5$$
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