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

Answer 1

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

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

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

3. Add \(75\) to both sides of the equation: \[ -10x = -45 + 75 \] Simplifying the right side gives: \[ -10x = 30 \]

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

Therefore, the solution is \( x = -3 \).

Among the responses, that corresponds to "x equals negative 3".