7/8=1/ 5x+1

Cross multiply

7(5x+1) = 8(1)

35x + 7 = 8

35x = 1

x = 1/35

7(5x+1)=1(8)

35x+7=8

35x=8-7

35x=1

x=1/35

check

7/8 = (1/(5(1/35)+1))

7/8= (1/(1/7+1)

7/8=7/8