Question
Solve for \( x \) \[ 15 x=9 x+12 \] Simplify your answer as much as possible.
Ask by Page Romero. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 2 \)
Solution
To solve the equation \( 15x = 9x + 12 \) for \( x \), follow these steps:
1. **Subtract \( 9x \) from both sides** to get the terms containing \( x \) on one side:
\[
15x - 9x = 9x + 12 - 9x
\]
Simplifying both sides:
\[
6x = 12
\]
2. **Divide both sides by 6** to isolate \( x \):
\[
\frac{6x}{6} = \frac{12}{6}
\]
Simplifying:
\[
x = 2
\]
**Solution:** \( x = 2 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To solve the equation \( 15x = 9x + 12 \), we first want to isolate \( x \). Start by subtracting \( 9x \) from both sides: \[ 15x - 9x = 12 \] This simplifies to: \[ 6x = 12 \] Next, divide both sides by 6 to solve for \( x \): \[ x = \frac{12}{6} \] Thus, we find: \[ x = 2 \] So the solution is \( x = 2 \).