Question
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Tutor-Verified Answer
Answer
La solución es \( x = -8 \).
Solution
Claro, vamos a resolver la siguiente ecuación paso a paso en español:
\[
2(x + 4 - 5) = 3(x + 2)
\]
**Paso 1: Simplificar dentro de los paréntesis**
\[
x + 4 - 5 = x - 1
\]
Ahora, la ecuación queda:
\[
2(x - 1) = 3(x + 2)
\]
**Paso 2: Distribuir los coeficientes**
\[
2x - 2 = 3x + 6
\]
**Paso 3: Reorganizar la ecuación para aislar las variables**
Resta \(2x\) de ambos lados:
\[
-2 = x + 6
\]
**Paso 4: Aislar la variable \(x\)**
Resta \(6\) de ambos lados:
\[
-2 - 6 = x
\]
\[
-8 = x
\]
**Solución:**
\[
x = -8
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve the equation, start by simplifying it. Distribute the 2 on the left side and the 3 on the right side: \( 2x + 8 - 10 = 3x + 6 \). This simplifies to \( 2x - 2 = 3x + 6 \). Next, isolate \( x \) by moving all \( x \) terms to one side and constant terms to the other: \( 2x - 3x = 6 + 2 \), which simplifies to \( -x = 8 \). Thus, when multiplied by -1, we find \( x = -8 \). Now you can check your solution by substituting \( x \) back into the original equation to ensure both sides are equal. Always remember, rechecking your work can save you from the pitfalls of miscalculations!
