Solve: 9/7x-9=2/7x-4

9/7x - 9 = 2/7x - 4

9/7x - 2/7x = - 4+9

7/7x = 5

x = 5

9/7x-9=2/7x-4

We simplify the equation to the form, which is simple to understand

9/7x-9=2/7x-4

We move all terms containing x to the left and all other terms to the right.

+7x-7x=-4+9

We simplify left and right side of the equation.

0x=+5

0=5