Add 0.4 to a number, multiply by 0.4, subtract 0.4, and divide by 0.4 to get 0.4

Add 0.4 to a number, multiply by 0.4, subtract 0.4, and divide by 0.4 to get 0.4

Let this number be x, then:
{(x+0.4)x0.4 - 0.4}/0.4=0.4
x+0.4=(0.4x0.4+0.4)/0.4
x= 0.4+1-0.4
x=1