Question

Solving Linear Equations Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Solve for x
. 

−5(6x+15)=−45

(1 point)
Responses

x=−2
x equals negative 2

x=−1
x equals negative 1

x=2
x equals 2

x=1

Answer 1

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

1. Start by distributing the \(-5\) on the left side of the equation:
\[
-5 \cdot 6x - 5 \cdot 15 = -45
\]
which simplifies to:
\[
-30x - 75 = -45
\]

2. Next, add \(75\) to both sides to isolate the term involving \(x\):
\[
-30x - 75 + 75 = -45 + 75
\]
which simplifies to:
\[
-30x = 30
\]

3. Now, divide by \(-30\) to solve for \(x\):
\[
x = \frac{30}{-30} = -1
\]

So the solution is:
\[
x = -1
\]

The correct response is:
**x=−1** (x equals negative 1).