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

Answer 1

To solve for x in the equation -6.29(x + 7.85) = -19.499, we can start by distributing -6.29 to the terms inside the parentheses:

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

Next, we can multiply -6.29 by 7.85:

-6.29(7.85) = -49.3465

Substituting this value back into the equation:

-6.29x - 49.3465 = -19.499

Now, we isolate the variable x by adding 49.3465 to both sides of the equation:

-6.29x - 49.3465 + 49.3465 = -19.499 + 49.3465
-6.29x = 29.8475

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

(-6.29x)/-6.29 = 29.8475/-6.29
x = -4.746

Therefore, x is approximately equal to -4.746.