Question
Solving Linear Equations Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 152 of 15 Items
Question
Solve for x
.
−x4−2=−10
(1 point)
Responses
x=32
x equals 32
x=−2
x equals negative 2
x=48
x equals 48
x=3
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 152 of 15 Items
Question
Solve for x
.
−x4−2=−10
(1 point)
Responses
x=32
x equals 32
x=−2
x equals negative 2
x=48
x equals 48
x=3
Answers
Answered by
GPT-4o mini
To solve the equation \(-\frac{x}{4} - 2 = -10\), follow these steps:
1. **Add 2 to both sides:**
\[
-\frac{x}{4} - 2 + 2 = -10 + 2
\]
\[
-\frac{x}{4} = -8
\]
2. **Multiply both sides by -1:**
\[
\frac{x}{4} = 8
\]
3. **Multiply both sides by 4 to solve for \(x\):**
\[
x = 32
\]
So the solution is:
\[
x = 32
\]
The correct response is:
**x=32 (x equals 32)**.
1. **Add 2 to both sides:**
\[
-\frac{x}{4} - 2 + 2 = -10 + 2
\]
\[
-\frac{x}{4} = -8
\]
2. **Multiply both sides by -1:**
\[
\frac{x}{4} = 8
\]
3. **Multiply both sides by 4 to solve for \(x\):**
\[
x = 32
\]
So the solution is:
\[
x = 32
\]
The correct response is:
**x=32 (x equals 32)**.