You have the following expression:
4x + 1 = 3 - 2x
In order to solve the previous equation, proceed as follow:
4x + 1 = 3 - 2x add 2x both sides and simplify
4x + 2x + 1 = 3
6x + 1 = 3 subtract 1 both sides and simplify
6x = 3 - 1
6x = 4 divide by 6 both sides and simplify the fraction
x = 4/6
x = 2/3
Hence, the solution to the given equation is x = 2/3