Which of the following answers gives the best estimate for x

Question

given the following equation?

−2x+902=1,518


(1 point)
Responses

300
300

−300
negative 300

−600
negative 600

600

Answer 1

To solve the equation \(-2x + 902 = 1518\), we will first isolate the term with \(x\).

1. Subtract 902 from both sides: \[ -2x = 1518 - 902 \] \[ -2x = 616 \]

2. Now, divide both sides by -2 to solve for \(x\): \[ x = \frac{616}{-2} \] \[ x = -308 \]

Now, let's look at the answer choices provided:

• 300
• −300
• −600
• 600

The closest estimate to \(-308\) is \(-300\).

Therefore, the best estimate for \(x\) is \(-300\).