Is x=7 a solution to the equation shown below? Justify your yes no response. 6x+5=x^2 - 2

6x + 5 = x² - 2
Replacing with x = 7, we get:
6(7) + 5 = (7)² - 2
42 + 5 = 49 - 2
47 = 47
Given that we got the same result at both sides of the equal sign, then x = 7 is a solution