Question
Solve the equation. 3x-(4x+5)=9x-15 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is {}. (Simplify your answer.) B. There is no solution.
Ask by Wilson Bowman.
Mar 12,2025 18:41
UpStudy AI Solution
Tutor-Verified Answer
Answer
The solution set is \(x=1\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
Let's solve the equation step by step:
Given:
\[ 3x - (4x + 5) = 9x - 15 \]
First, distribute the negative sign:
\[ 3x - 4x - 5 = 9x - 15 \]
Combine like terms on the left side:
\[ -x - 5 = 9x - 15 \]
Next, add \( x \) to both sides to get all the \( x \) terms on one side:
\[ -5 = 10x - 15 \]
Now, add 15 to both sides:
\[ 10 = 10x \]
Finally, divide by 10:
\[ x = 1 \]
The solution is \( x = 1 \). Therefore, the correct choice is:
A. The solution set is \(\{1\}\).
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