Samantha is solving an equation involving integers. The equation is formatted as follows:
$$4(x - 3) + 2 = 10 + 2(x + 1)$$
After simplifying both sides, she arrived at the following equivalent linear equation:
$$A x + B = C$$
Where $$A$$, $$B$$, and $$C$$ are constants. What is the value of $$x$$ when the equation is solved for $$x$$?