I'm learning Algebra and am curious about some methodological fundamentals here. One, in particular is why the following equation:
6(2x + 1 / 3) = 6(x + 4 / 2)
2(2x + 1) = 3(x + 4)
It's obvious that the distributive property swaps the numerators of the fractions and chooses to use another distributive property to complete the equation. Is there a specific formula for this, and why does it work that way specifically?