Solving Linear Equations Online Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 154 of 15 Items

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).