Given the equation 4x 7 = 3 (2x - 5), solve for the variable. Explain each step and justify your process.

Start with multiplying 4*7 to get 28

The equation simplifies to 28=3 (2x-5)

Next, multiply the three into (2x-5), leaving the equation as 28=6x-15

After that, add fifteen to 28, getting 42=6x

Next, divide 42 by 6, getting x=7