Solve for x

Question

: 20x−5(6x+15)=−45
.
Responses

x=−2
x equals negative 2

x=3
x equals 3

x=−3
x equals negative 3

x=2
x equals 2

Answer 1

To solve the equation \( 20x - 5(6x + 15) = -45 \), we'll first distribute the \(-5\) to both terms inside the parentheses.

1. Distribute \(-5\): \[ 20x - 30x - 75 = -45 \]

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

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

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

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

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