To solve the equation 7x - 21 - 2x² + 6x + 2x² = 5, we can start by combining like terms.
7x - 21 - 2x² + 6x + 2x² = 5
Combine the terms 7x and 6x to get 13x:
13x - 21 - 2x² + 2x² = 5
Combine the like terms -2x² and 2x². They cancel each other out:
13x - 21 = 5
Now, we can isolate the x variable by moving the constant term (-21) to the other side of the equation:
13x = 5 + 21
13x = 26
Finally, we divide both sides of the equation by 13 to solve for x:
x = 26/13
So the solution to the equation is x = 2.
