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Answer
La solución es \( x = -\frac{6}{a} \).
Solution
Para resolver la ecuación \( 2 a x - 5 = -3 a x - 35 \), sigue estos pasos:
1. **Agrupa los términos que contienen \( x \) en un lado y los constantes en el otro:**
\[
2 a x + 3 a x = -35 + 5
\]
2. **Simplifica ambos lados:**
\[
5 a x = -30
\]
3. **Despeja \( x \) dividiendo ambos lados por \( 5a \):**
\[
x = \frac{-30}{5a}
\]
4. **Simplifica la fracción:**
\[
x = \frac{-6}{a}
\]
**Solución:**
\[
x = -\frac{6}{a}
\]
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Simplify this solution Bonus Knowledge
To solve the equation \( 2 a x - 5 = -3 a x - 35 \), start by combining like terms. First, add \( 3 a x \) to both sides to isolate terms with \( x \): \[ 2 a x + 3 a x - 5 = -35 \] This simplifies to: \[ 5 a x - 5 = -35 \] Next, add 5 to both sides: \[ 5 a x = -30 \] Now, divide both sides by \( 5 a \) (assuming \( a \neq 0 \)): \[ x = -\frac{30}{5 a} \] This simplifies to: \[ x = -\frac{6}{a} \] And there you have it! The value of \( x \) is \( -\frac{6}{a} \).
