Question
Solve Multi-Step Linear Equations Quick Check
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
Answers
GPT-4o mini
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).
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).