Question

Which of the following answers gives the best estimate for x given the following equation?

−2x+902=1,518

(1 point)
Responses

600
600

−600
negative 600

−300
negative 300

300

Answer 1

To solve the equation \(-2x + 902 = 1,518\), we can follow these steps:

1. Subtract 902 from both sides:

\[
-2x = 1,518 - 902
\]

Calculating the right side:

\[
1,518 - 902 = 616
\]

So the equation simplifies to:

\[
-2x = 616
\]

2. Now, divide both sides by -2:

\[
x = \frac{616}{-2}
\]

Calculating that gives:

\[
x = -308
\]

Since \(-308\) is not one of the provided options, we need to find the closest approximation from the options given. The options are:

- 600
- -600
- -300
- 300

The best estimate from the choices provided is **-300**.

So, the answer is:

**-300**