Question

Linear Expressions, Equations & Inequalities Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
6 of 156 of 15 Items













Question
Solve for x
. 

−4(3x+10)=56

(1 point)
Responses

x=−4
x equals negative 4

x=−8
x equals negative 8

x=4
x equals 4

x=8

Answer 1

To solve the equation \(-4(3x + 10) = 56\), follow these steps:

1. Distribute \(-4\) on the left side of the equation:
\[
-4 \cdot 3x - 4 \cdot 10 = -12x - 40
\]
So, the equation becomes:
\[
-12x - 40 = 56
\]

2. Add \(40\) to both sides of the equation to isolate the term with \(x\):
\[
-12x - 40 + 40 = 56 + 40
\]
This simplifies to:
\[
-12x = 96
\]

3. Divide both sides by \(-12\):
\[
x = \frac{96}{-12} = -8
\]

Therefore, the solution is:
\[
x = -8
\]

The correct response is:
**x = -8** (x equals negative 8).