You have the following equation:
4x - 3 = 2x + 5
In order to solve the previous equation, it is ncessary that you have terms with variable x on one side of the equation and independent terms on the other side.
You proceed as follow:
4x - 3 = 2x + 5 subtract 2x both sides (to cancel out 2x of the right side)
4x - 2x - 3 = 5 add 3 both sides (to cancel out -3 of the left side)
4x - 2x = 5 + 3 simplify like terms both sides
2x = 8 divide by 2 both sides (to cancel out the 2 coefficient left side)
x = 8/2
x = 4
Hence, the solution to the given equation is x = 4