One seventh {one half [one fifth (half x-two + 1) - 1] + X} = 1

One seventh {one half [one fifth (half x-two + 1) - 1] + X} = 1

1/7{1/2[1/5((x-2)/2 +1)-1]+x}=1
1/7 {1/2 [ 1/5(x/2 - 1 + 1) -1 ]+x}=1
1/7 {1/2[x/10 -1 ]+x}=1
1/7 {x/20 -1/2 +x }=1
x*21/140 -1/14= 1
x*21/140 =15/14
x=50/7