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¿Cuál es la solución de esta ecuación?

[tex] x-17=-5 [/tex]

A. [tex] x=-22 [/tex]
B. [tex] x=12 [/tex]
C. [tex] x=22 [/tex]
D. [tex] x=-12 [/tex]

Sagot :

GinnyAnswer
Para encontrar la solución de la ecuación:

[tex]\[ x - 17 = -5 \][/tex]

sigue estos pasos:

1. Aislar la variable x: Para aislar [tex]\( x \)[/tex], debes eliminar el 17 del lado izquierdo de la ecuación. Esto se logra sumando 17 a ambos lados de la ecuación:

[tex]\[ x - 17 + 17 = -5 + 17 \][/tex]

2. Simplificar ambos lados: Al simplificar, el -17 y el +17 se cancelan en el lado izquierdo, dejando [tex]\( x \)[/tex] solo. En el lado derecho, debes sumar -5 y 17:

[tex]\[ x = 12 \][/tex]

Entonces, la solución de la ecuación [tex]\( x - 17 = -5 \)[/tex] es [tex]\( x = 12 \)[/tex].

La respuesta correcta es la opción B:
[tex]\[ \boxed{x = 12} \][/tex]
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