Solve for x

Question

: 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 \( 20x - 5(6x + 15) = -45 \), let's follow the 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: \[ (20x - 30x) - 75 = -45 \] This reduces to: \[ -10x - 75 = -45 \]

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

4. Divide by \(-10\): \[ x = \frac{30}{-10} \] Thus, we get: \[ x = -3 \]

The solution is: \[ \boxed{x = -3} \]

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