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

Answer 1

To solve the equation -6.29(x+7.85) = -19.499, we will need to follow these steps:

1. Distribute -6.29 to both terms inside the parentheses:
-6.29(x) + -6.29(7.85) = -19.499
-6.29x - 49.2565 = -19.499

2. Move the constant term to the right side by adding 49.2565 to both sides of the equation:
-6.29x = -19.499 + 49.2565
-6.29x = 29.7575

3. To isolate the variable x, divide both sides of the equation by -6.29:
x = 29.7575 / -6.29

4. Simplify the right side of the equation:
x ≈ -4.7316

Therefore, the solution for x in the given equation is approximately x ≈ -4.7316.