Solve Multi-Step Linear Equations Quick Check

Question

5 of 55 of 5 Items

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

x=−3
x equals negative 3

x=−2
x equals negative 2

x=3
x equals 3

x=2

Answer 1

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

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

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

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

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

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

The correct response is: x = -3 (x equals negative 3).