Hi there! Firsrt off, before we do anything else, let's do the distributive property. 3 * 2x is 6x. 3 * -1 is -3. The first side is 6x - 3. The second side: 1/2 * 4x is 2. 1/2 * -2 is 1. The second side is 2x - 1. But we add 2 to -1, and that turns -1 to 1. That simplifies to this:
6x - 3 = 2x + 1
Okay. Let's start off by subtracting 2x from both sides. 2x - 2x cancels out. 6x - 2x is 4x. The problem becomes 4x - 3 = 1. Now, add 3 to both sides -3 + 3 cancels out. 1 + 3 is 4. The expression simplifies to 4x = 4. Divide each side by 4 to isolate the x. 4x/4 cancels out. 4/4 is 1. Let's plug 1 in for x, and see what we get. 6 * 1 is 6. 6 - 3 is 3. 2 * 1 is 2. 2 + 1 is 3. 3 = 3. There. x = 1. The answer is B: 1.