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

1 answer

To solve the equation \(-6.29 ( x + 7.85 ) = -19.499\), we can start by dividing both sides by \(-6.29\):

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

Calculating the right side:

\[ \frac{-19.499}{-6.29} = \frac{19.499}{6.29} \approx 3.1 \]

So we have:

\[ x + 7.85 \approx 3.1 \]

Next, we isolate \(x\) by subtracting \(7.85\) from both sides:

\[ x \approx 3.1 - 7.85 \]

Calculating that gives:

\[ x \approx -4.75 \]

Hence, the solution is:

\[ \boxed{-4.75} \]