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 first distribute -6.29 to the terms inside the parentheses.

Therefore, -6.29 ( x + 7.85) = -6.29x - 6.29(7.85) = -6.29x - 49.2165.

Now, the equation becomes -6.29x - 49.2165 = -19.499.

To isolate the variable x, we can start by adding 49.2165 to both sides of the equation:

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

Simplifying both sides of the equation gives:

-6.29x = 29.7175

Finally, we can solve for x by dividing both sides of the equation by -6.29:

-6.29x / -6.29 = 29.7175 / -6.29

Simplifying gives:

x = -4.727