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

Answer 1

To solve for x in the equation -6.29 (x + 7.85) = 19.499, we can follow these steps:

1. Distribute the -6.29 to both terms inside the parentheses:
-6.29 * x + (-6.29) * 7.85 = 19.499

2. Simplify the equation by performing the multiplication:
-6.29x - 49.1065 = 19.499

3. Move the constant term to the right side by adding 49.1065 to both sides of the equation:
-6.29x = 19.499 + 49.1065
-6.29x = 68.6055

4. Divide both sides of the equation by -6.29 to solve for x:
x = 68.6055 / -6.29

5. Calculate the division to find the value of x:
x ≈ -10.912