Solve for x

Question

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

x=−3
x equals negative 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 first simplify the left side.

1. Distribute the \(-5\) in \(-5(6x + 15)\): \[ -5(6x) - 5(15) = -30x - 75 \]

2. Substitute this back into the equation: \[ 20x - 30x - 75 = -45 \]

3. Combine like terms \(20x - 30x\): \[ -10x - 75 = -45 \]

4. Next, add \(75\) to both sides: \[ -10x = -45 + 75 \] \[ -10x = 30 \]

5. Now, divide both sides by \(-10\): \[ x = \frac{30}{-10} \] \[ x = -3 \]

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

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