Solve for × in the equation -6.29(× +7.85)= -19.499

1 answer

To solve for \( x \) in the equation

\[ -6.29(x + 7.85) = -19.499, \]

first, divide both sides by \(-6.29\):

\[ x + 7.85 = \frac{-19.499}{-6.29}. \]

Calculating the right side:

\[ \frac{-19.499}{-6.29} \approx 3.098. \]

Now we have:

\[ x + 7.85 \approx 3.098. \]

Next, subtract \( 7.85 \) from both sides:

\[ x \approx 3.098 - 7.85, \] \[ x \approx -4.752. \]

Thus, the solution for \( x \) is approximately

\[ \boxed{-4.752}. \]