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

Answer 1

To solve for x, we need to isolate it on one side of the equation.

Let's begin by distributing -6.29 to both terms in the parentheses:

-6.29(x + 7.85) = -19.499
-6.29x - 6.29(7.85) = -19.499
-6.29x - 49.2165 = -19.499

Next, we'll get rid of the constant term on the left side by adding 49.2165 to both sides of the equation:

-6.29x - 49.2165 + 49.2165 = -19.499 + 49.2165
-6.29x = 29.7175

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

(-6.29x) / -6.29 = 29.7175 / -6.29
x = -4.7311936

Therefore, the solution to the equation is x = -4.7311936.