Solve for x.

−3 over 5 (15 (x) − 30) = 198

1 answer

To solve the equation, we need to simplify the expression on the left side and isolate the variable x.

We'll start by simplifying inside the parentheses:
15 (x) − 30 = 15x - 30

Now, we'll substitute this back into the equation:
(-3/5)(15x - 30) = 198

Next, we'll distribute -3/5 to the terms inside the parentheses:
(-3/5)(15x) + (-3/5)(-30) = 198
-9x + 18 = 198

Now, we'll isolate the variable x by moving the constant term to the other side:
-9x = 198 - 18
-9x = 180

Finally, solve for x by dividing both sides of the equation by -9:
x = 180 / -9
x = -20

Therefore, the solution to the equation is x = -20.