Question

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

Answer 1

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

Answer 2

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