I would love it if you went into absolute detail.

5(3x - 6) = 6(2x - 3) Given

5(3x) - 5(6) = 6(2x) - 6(3) Distributive property

15x - 30 = 12x - 18 Simplify

15x - 30 + 30 = 12x - 18 + 30 Add 30 to each side

15x + 0 = 12x - 18 + 30 Inverse property of addition

15x = 12x - 18 + 30 Identity property of addition

15x = 12x + 12 Simplify

15x - 12x = 12x + 12 - 12x Subtract 12x from each side

15x - 12x = 12 + 0 Inverse property of addition

15x - 12x = 12 Identity property of addition

3x = 12 Simplify

3x/3 = 12/3 Divide each side by 3

1x = 12/3 Inverse property of multiplication

x = 12/3 Identity property of multiplication

x = 4 Simplify