To solve this equation, we can first simplify each side of the equation:
Left side:(x+3)(x-3) - (x-3)(x+2) - 5Expanding each term, we get:(x^2 - 3x + 3x - 9) - (x^2 + 2x - 3x - 6) - 5(x^2 - 9) - (x^2 - 6) - 5x^2 - 9 - x^2 + 6 - 5-9 + 6 - 5-8
Right side:6x - 7
Therefore, the equation simplifies to:-8 = 6x - 7
Adding 7 to both sides, we get:-8 + 7 = 6x-1 = 6x
Dividing by 6, we find:x = -1/6
Therefore, the solution to the equation is x = -1/6.
To solve this equation, we can first simplify each side of the equation:
Left side:
(x+3)(x-3) - (x-3)(x+2) - 5
Expanding each term, we get:
(x^2 - 3x + 3x - 9) - (x^2 + 2x - 3x - 6) - 5
(x^2 - 9) - (x^2 - 6) - 5
x^2 - 9 - x^2 + 6 - 5
-9 + 6 - 5
-8
Right side:
6x - 7
Therefore, the equation simplifies to:
-8 = 6x - 7
Adding 7 to both sides, we get:
-8 + 7 = 6x
-1 = 6x
Dividing by 6, we find:
x = -1/6
Therefore, the solution to the equation is x = -1/6.