Final answer:
To solve the equation -5 - 2.3x = 3.3x + 6, we first combine like terms and then isolate x. The solution to the equation, rounded to the nearest tenth, is x = -2.0. However, this solution does not match any of the provided multiple choice options, indicating a potential error in the question or the answer choices.
Step-by-step explanation:
We must solve the equation -5 - 2.3x = 3.3x + 6 for x. We start by adding 2.3x to both sides to get all the x terms on one side and the constant terms on the other.
So,
-5 - 2.3x + 2.3x = 3.3x + 6 + 2.3x
This simplifies to
-5 = 5.6x + 6
Next, we subtract 6 from both sides to isolate the x terms:
-5 - 6 = 5.6x + 6 - 6
Which simplifies to
-11 = 5.6x
Lastly, we divide by 5.6 to solve for x:
x = -11 / 5.6
This gives us an approximate solution of:
x = -1.9642857
Rounding to the nearest tenth, we have:
x = -2.0
However, none of the options provided (x = -1.6, x = -2.4, x = -1.0, x = -0.8) exactly match the solution we found, suggesting there may have been an error in the original problem or the options provided. The closest option to our solution would be option b) x = -2.0