Question
Solve Multi-Step Linear Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Solve for x
.
−2(3x−15)=60
(1 point)
x=
Answers
GPT-4o mini
To solve the equation \(-2(3x - 15) = 60\), follow these steps:
1. Distribute \(-2\) across the expression inside the parentheses:
\[
-2 \cdot 3x + -2 \cdot (-15) = 60
\]
This simplifies to:
\[
-6x + 30 = 60
\]
2. Next, isolate the term with \(x\) by subtracting \(30\) from both sides:
\[
-6x + 30 - 30 = 60 - 30
\]
Simplifying gives:
\[
-6x = 30
\]
3. Now, solve for \(x\) by dividing both sides by \(-6\):
\[
x = \frac{30}{-6}
\]
This simplifies to:
\[
x = -5
\]
So the final answer is:
\[
\boxed{-5}
\]
1. Distribute \(-2\) across the expression inside the parentheses:
\[
-2 \cdot 3x + -2 \cdot (-15) = 60
\]
This simplifies to:
\[
-6x + 30 = 60
\]
2. Next, isolate the term with \(x\) by subtracting \(30\) from both sides:
\[
-6x + 30 - 30 = 60 - 30
\]
Simplifying gives:
\[
-6x = 30
\]
3. Now, solve for \(x\) by dividing both sides by \(-6\):
\[
x = \frac{30}{-6}
\]
This simplifies to:
\[
x = -5
\]
So the final answer is:
\[
\boxed{-5}
\]