Solve for xin the equation 5.239(×+12.74)=9.4302. Round your answer to the nearest tenth.

Question

-10.94
-8.5488
14.54
1.8

Answer 1

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

1. Divide both sides of the equation by \( 5.239 \):

\[ x + 12.74 = \frac{9.4302}{5.239} \]

Calculating the right side:

\[ \frac{9.4302}{5.239} \approx 1.8003 \]

2. Now, we subtract \( 12.74 \) from both sides:

\[ x = 1.8003 - 12.74 \]

Calculating this gives:

\[ x \approx 1.8003 - 12.74 \approx -10.9397 \]

3. Rounding this to the nearest tenth gives:

\[ x \approx -10.9 \]

Thus, the answer is:

\[ \boxed{-10.9} \]