Question
Solve for \( e \) \( 9 e+4=-5 e+14+13 e \) \( e= \) Related content
Ask by Mcdonald Stewart. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( e = 10 \)
Solution
To solve for \( e \) in the equation:
\[
9e + 4 = -5e + 14 + 13e
\]
**Step 1: Simplify the equation**
First, combine like terms on the right side of the equation:
\[
-5e + 13e = 8e
\]
So, the equation becomes:
\[
9e + 4 = 8e + 14
\]
**Step 2: Get all terms containing \( e \) on one side and constants on the other**
Subtract \( 8e \) from both sides to move the \( e \)-terms to the left:
\[
9e - 8e + 4 = 14
\]
Simplifying this gives:
\[
e + 4 = 14
\]
**Step 3: Solve for \( e \)**
Subtract 4 from both sides to isolate \( e \):
\[
e = 14 - 4
\]
\[
e = 10
\]
**Final Answer:**
\[
e = 10
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
First, let's combine like terms. On the right side, you have \( -5 e + 13 e \), which simplifies to \( 8 e \). Rewriting the equation gives us \( 9 e + 4 = 8 e + 14 \). Next, subtract \( 8 e \) from both sides to get \( e + 4 = 14 \). Finally, subtract 4 from both sides, and you find that \( e = 10 \). So, \( e = 10 \).
