8x(1 + 2x) - (4x + 3)(4x - 3) = 2x;

1. Expand the terms: $$8x + 16x^2 - (16x^2 - 9) = 2x$$.
2. Simplify the equation: $$8x + 16x^2 - 16x^2 + 9 = 2x$$.
3. Combine like terms and solve for x: $$8x + 9 = 2x \Rightarrow 6x = -9 \Rightarrow x = -9/6 = -3/2$$.
Final Answer: The final answer is $$\boxed{-3/2}$$