Solve for x : 20x−5(6x+15)=−45 .(1 point) Responses x=3 x equals 3 x=2 x equals 2 x=−2 x equals negative 2 x=−3

Answer 1

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

1. Distribute the -5 across the terms in the parentheses: \[ 20x - 5 \cdot 6x - 5 \cdot 15 = -45 \] This simplifies to: \[ 20x - 30x - 75 = -45 \]

2. Combine like terms: \[ -10x - 75 = -45 \]

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

4. Divide both sides by -10 to solve for \( x \): \[ x = \frac{30}{-10} = -3 \]

Thus, the solution is: \[ \boxed{-3} \]

So, the correct response is \( x = -3 \).