Solve for x in the equation −6.29(x+7.85)=−19.499 .(1 point)

Answer 1

To solve the equation, we need to isolate the variable x.

First, distribute -6.29 to (x + 7.85):

-6.29(x + 7.85) = -19.499
-6.29x - 6.29 * 7.85 = -19.499

Next, simplify by multiplying:

-6.29x - 49.2265 = -19.499

To isolate x, add 49.2265 to both sides of the equation:

-6.29x - 49.2265 + 49.2265 = -19.499 + 49.2265
-6.29x = 29.7275

Finally, divide both sides of the equation by -6.29 to solve for x:

x = 29.7275 / -6.29

x ≈ -4.72