Solve for x. Express the answer in simplest form. 1/7=3/4x=1

Okay, so after a bit of research the original equation seems to be:

1/7=3/4x-1

To solve, we need to isolate x on one side. Let's by adding 1 to both sides (and thus eliminate - 1):

1/7+1=3/4x

8/7=3/4x

Let's now multiply by 4 both sides (to eliminate the denominator 4):

4*8/7=3x

32/7=3x

Let's now divide both sides by 3 (to eliminate the 3 from 3x):

32 / (7*3) = x

32/21=x

We conclude that x=32/21 or 1 11/21