Question

olve for x
: 20x−5(6x+15)=−45
.(1 point)
Responses

x=−2
x equals negative 2

x=2
x equals 2

x=3
x equals 3

x=−3

Answer 1

To solve the equation \( 20x - 5(6x + 15) = -45 \), follow these steps:

1. Distribute \(-5\) through the parentheses:
\[
20x - 5(6x) - 5(15) = -45
\]
This simplifies to:
\[
20x - 30x - 75 = -45
\]

2. Combine like terms:
\[
(20x - 30x) - 75 = -45
\]
This simplifies to:
\[
-10x - 75 = -45
\]

3. Add \(75\) to both sides:
\[
-10x = -45 + 75
\]
This simplifies to:
\[
-10x = 30
\]

4. Divide by \(-10\):
\[
x = \frac{30}{-10}
\]
This simplifies to:
\[
x = -3
\]

The answer is \( x = -3 \).

So, the correct response is:
**x = -3**