Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Tema: Ecuaciones de [tex]\(1^{\circ}\)[/tex] Grado

Determine la solución en la siguiente ecuación:

[tex]\[ 2x - 6 = 3(x - 4) + 12 \][/tex]

Sagot :

GinnyAnswer
Para resolver la ecuación [tex]\( 2x - 6 = 3(x - 4) + 12 \)[/tex], sigamos los siguientes pasos:

1. Distribuir el término 3 en el lado derecho de la ecuación:
[tex]\[ 2x - 6 = 3(x - 4) + 12 \][/tex]
[tex]\[ 2x - 6 = 3x - 12 + 12 \][/tex]

2. Simplificar el lado derecho de la ecuación:
[tex]\[ 2x - 6 = 3x \][/tex]

3. Reorganizar la ecuación para aislar [tex]\( x \)[/tex]:
Restar [tex]\( 3x \)[/tex] de ambos lados de la ecuación:
[tex]\[ 2x - 3x - 6 = 3x - 3x \][/tex]
[tex]\[ -x - 6 = 0 \][/tex]

4. Simplificar:
[tex]\[ -x = 6 \][/tex]

5. Resolver para [tex]\( x \)[/tex] multiplicando ambos lados por [tex]\(-1\)[/tex]:
[tex]\[ x = -6 \][/tex]

Por lo tanto, la solución a la ecuación [tex]\( 2x - 6 = 3(x - 4) + 12 \)[/tex] es [tex]\( x = -6 \)[/tex].
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.