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Solve for [tex]x[/tex].

[tex]\[ 2(x - 3) = 7 \][/tex]

a) [tex]\[ \frac{1}{2} \][/tex]

b) [tex]\[ \frac{11}{2} \][/tex]

c) [tex]\[ \frac{3}{4} \][/tex]

d) 1

e) [tex]\[ \frac{13}{2} \][/tex]

Sagot :

GinnyAnswer
Vamos a resolver la ecuación [tex]\(2(x-3)=7\)[/tex] paso a paso.

1. Desarrollo inicial de la ecuación:
[tex]\[ 2(x - 3) = 7 \][/tex]

2. Eliminar los paréntesis multiplicando:
[tex]\[ 2x - 6 = 7 \][/tex]

3. Aislar el término con [tex]\(x\)[/tex]:
[tex]\[ 2x - 6 + 6 = 7 + 6 \][/tex]
[tex]\[ 2x = 13 \][/tex]

4. Despejar [tex]\(x\)[/tex] dividiendo ambos lados de la ecuación por 2:
[tex]\[ x = \frac{13}{2} \][/tex]

Por lo tanto, la solución de la ecuación [tex]\(2(x-3)=7\)[/tex] es [tex]\( \boxed{\frac{13}{2}} \)[/tex].

En las opciones dadas, la respuesta correcta es la opción e) [tex]\( \frac{13}{2} \)[/tex].
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