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Resuelve los ejercicios del 1 al 10.

1. [tex]3(x-2)=15[/tex]

a) 7
b) 6
c) 8
d) 9
e) 10

Sagot :

GinnyAnswer
Para resolver la ecuación [tex]\(3(x - 2) = 15\)[/tex], sigue estos pasos:

1. Distribuir el 3 en el lado izquierdo de la ecuación:
[tex]\[ 3(x - 2) = 3 \cdot x + 3 \cdot (-2) \][/tex]
Esto resulta en:
[tex]\[ 3x - 6 = 15 \][/tex]

2. Sumar 6 a ambos lados de la ecuación para aislar el término con [tex]\(x\)[/tex]:
[tex]\[ 3x - 6 + 6 = 15 + 6 \][/tex]
Esto simplifica a:
[tex]\[ 3x = 21 \][/tex]

3. Dividir ambos lados de la ecuación por 3 para resolver [tex]\(x\)[/tex]:
[tex]\[ \frac{3x}{3} = \frac{21}{3} \][/tex]
Esto resulta en:
[tex]\[ x = 7 \][/tex]

Así, la solución para la ecuación [tex]\(3(x - 2) = 15\)[/tex] es [tex]\(x = 7\)[/tex].

Por lo tanto, la opción correcta es:

a. 7
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