Solve for x in the equation -6.29(x+7.85)=-19.499.
To solve the equation -6.29(x+7.85)=-19.499, we will begin by distributing -6.29 to the terms inside the parentheses:
-6.29(x) - 6.29(7.85) = -19.499
Next, we simplify both sides of the equation:
-6.29x - 49.0865 = -19.499
To isolate the variable x, we will add 49.0865 to both sides of the equation:
-6.29x = -19.499 + 49.0865
-6.29x = 29.5875
Finally, to solve for x, we will divide both sides of the equation by -6.29:
x = 29.5875 / -6.29
Evaluating the division, we find:
x ≈ -4.70
Therefore, the solution to the equation is x ≈ -4.70.