Question
Real Tutor Solution
Tutor-Verified Answer
Answer
La solución es \( x = 11 \).
Solution
Resolvamos la ecuación paso a paso:
\[ 6x - 2 = 4x + 20 \]
1. **Restar \(4x\) de ambos lados:**
\[
6x - 4x - 2 = 20
\]
\[
2x - 2 = 20
\]
2. **Sumar \(2\) a ambos lados:**
\[
2x = 22
\]
3. **Dividir entre \(2\):**
\[
x = 11
\]
Por lo tanto, la respuesta correcta es:
**c) 11**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To solve the equation \( 6x - 2 = 4x + 20 \), start by isolating \( x \). First, subtract \( 4x \) from both sides to get \( 2x - 2 = 20 \). Then, add 2 to both sides resulting in \( 2x = 22 \). Finally, divide by 2 to find \( x = 11 \). So, the correct answer is c) 11! Equations like this one show the beauty of algebra in simplifying complex problems! Understanding how to manipulate equations can make everything from budgeting to engineering projects much easier. It's like finding a hidden treasure with number manipulation skills!
