In the solution of the equation 5 + 3x = -2x + 9, where 2x is added to the equation first, we need to simplify the equation further to isolate the variable x.
After adding 2x to both sides of the equation, we have:
5 + 3x + 2x = -2x + 9 + 2x
Simplifying both sides, we get:
5 + 5x = 9
To isolate the variable x, we need to move the constant term to the other side of the equation.
To do this, we subtract 5 from both sides of the equation:
5 + 5x - 5 = 9 - 5
Simplifying both sides, we have:
5x = 4
Now, we need to solve for x.
To isolate x, we divide both sides of the equation by the coefficient of x, which is 5:
(5x)/5 = 4/5
Simplifying both sides, we get:
x = 4/5
Based on these steps, the correct next step is to subtract 5 from both sides of the equation. Therefore, the answer is A) add -5.