Solve for x in the equation 5.239(x+12.74)=9.4302 . Round your answer to the nearest tenth.(1 point)

Question

Responses

−8.5488
negative 8.5488

1.8
1.8

14.54
14.54

−10.94

Answer 1

To solve for \( x \) in the equation \( 5.239(x + 12.74) = 9.4302 \), follow these steps:

1. Divide both sides by \( 5.239 \): \[ x + 12.74 = \frac{9.4302}{5.239} \]

2. Calculate the right-hand side: \[ \frac{9.4302}{5.239} \approx 1.8007 \] So, \[ x + 12.74 \approx 1.8007 \]

3. Subtract \( 12.74 \) from both sides: \[ x \approx 1.8007 - 12.74 \]

4. Calculate the value: \[ x \approx 1.8007 - 12.7400 \approx -10.9393 \]

5. Rounding to the nearest tenth, we get: \[ x \approx -10.9 \]

Therefore, the correct answer is \( -10.94 \) when rounded appropriately.