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

Question

−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