x+3divided by 7 minus x-3divided by 6 =1
(x + 3) (x - 3)
--------- - --------- = 1
7 6
To eliminate the denominators, multiply everyting by 42
42 * (x + 3) 42 * (x - 3)
---------------- - ---------------- = 42 * 1
7 6
6 * (x + 3) - (7 * (x - 3)) = 42
6x + 18 - 7x + 21 = 42
-x + 39 = 42
-x = 42 - 39 = 3
x = -3
Plug the value of x into the original equation.
(-3 + 3) (-3 - 3)
----------- - ---------- = 1
7 6
0 -6
----------- - ---------- = 1
7 6
Although you can't divide by zero, you CAN divide zero
by any number. What you get is zero.
-6
0 - ---------- = 1
6
You are left with
- (-6 / 6) = 1
1 = 1
So, x is -3.