Question

Solve for x.

−3 over 5 (15 (x) − 30) = 198

Answer 1

To solve for x, we will first simplify the expression on the left side of the equation.

Starting from the innermost expression:
15(x) - 30 = 15x - 30

Now we can rewrite the equation:
-3/5 * (15x - 30) = 198

Next, distribute -3/5:
-3/5 * 15x - 3/5 * -30 = 198

Simplifying further:
-9x + 18/5 = 198

To isolate x, we can subtract 18/5 from both sides of the equation:
-9x = 198 - 18/5

To simplify the right side, we need a common denominator for 198 and 18/5, which is 5:
-9x = (198*5)/5 - 18/5
-9x = 990/5 - 18/5
-9x = (990 - 18)/5
-9x = 972/5

Now, we can divide both sides by -9 to solve for x:
x = (972/5) / -9
x = 972/5 * (-1/9)
x = -972/45
x = -216/45

The solution for x is -216/45.