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Solve for x

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

14.54
14.54

−8.5488
negative 8.5488

−10.94
negative 10.94

1.8

1 answer

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

  1. Distribute the 5.239: \[ 5.239x + 5.239 \cdot 12.74 = 9.4302 \]

    Calculate \( 5.239 \cdot 12.74 \): \[ 5.239 \cdot 12.74 \approx 66.74886 \]

    Now the equation becomes: \[ 5.239x + 66.74886 = 9.4302 \]

  2. Isolate the term with \( x \): Subtract 66.74886 from both sides: \[ 5.239x = 9.4302 - 66.74886 \] Calculate \( 9.4302 - 66.74886 \): \[ 9.4302 - 66.74886 \approx -57.31866 \]

    Now the equation is: \[ 5.239x = -57.31866 \]

  3. Solve for \( x \): Divide both sides by 5.239: \[ x = \frac{-57.31866}{5.239} \approx -10.94 \]

Rounding \( -10.94 \) to the nearest tenth gives: \[ -10.9 \]

So the answer is −10.94.