Final answer:
To solve the equation 5x + 16 = 6 - 5x, combine like terms after moving x terms to one side and numerical terms to the other. The solution is x = -1 after simplifying and dividing both sides by 10.
Step-by-step explanation:
To solve the equation 5x + 16 = 6 - 5x, we will first collect the x terms on one side and the numerical terms on the other side by adding 5x to both sides and subtracting 16 from both sides. This is an application of the principle that whatever operation you do to one side of the equation, you must do it to the other side as well.
Starting with the equation:
5x + 16 = 6 - 5x
Add 5x to both sides:
5x + 16 + 5x = 6 - 5x + 5x
Combine like terms:
10x + 16 = 6
Subtract 16 from both sides:
10x = 6 - 16
10x = -10
Finally, divide both sides by 10 to solve for x:
x = -10 / 10
x = -1
Thus, the solution to the equation is x = -1, which corresponds to option c).