Final answer:
The equation 2x + 6 = 96 is solved by first subtracting 6 from both sides, then dividing by 2, resulting in the solution x = 45.
Step-by-step explanation:
We have been asked to solve the algebraic equation 2x + 6 = 96 for x. First, we subtract 6 from both sides of the equation to isolate the term with x, resulting in 2x = 90.
Next, we divide both sides by 2 to solve for x, which gives us x = 45. Therefore, the solution to the equation is x = 45.