What is 5/3x-7 and how do you solve it

Well what you wrote is an expression and you can only simplify those, but lets say you did mean an equation. (if it isn't then you write the simplest form)

5/3x-7=0

multiply both sides by 3x-7

can't multiply by 0

0 does not equal 5

equation is not true

The answer is x=1.

Step one is Pulling out like terms:

1.1 Pull out like factors:

-2x + 2 = - 2 • (x - 1)

Step two is

Equations which are never true:

2.1 Solve : - 2 = 0

Step three

Solving a Single Variable Equation:

2.2 Solve : x-1 = 0

Add 1 to both sides of the equation:

x = 1

One solution was found:

x = 1