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Solve for \( x \) and correct any errors:
[tex]\[ 6x + 11 = 81 - x \][/tex]

Sagot :

GinnyAnswer
Claro, vamos a resolver la ecuación paso a paso para encontrar el valor de \( x \):

Dada la ecuación:
[tex]\[ 6x + 11 = 81 - x \][/tex]

Paso 1: Mover todos los términos con \( x \) al mismo lado de la ecuación. Para hacerlo, sumamos \( x \) a ambos lados:
[tex]\[ 6x + x + 11 = 81 - x + x \][/tex]

Esto simplifica a:
[tex]\[ 7x + 11 = 81 \][/tex]

Paso 2: Mover los términos constantes al otro lado de la ecuación. Para hacerlo, restamos 11 de ambos lados:
[tex]\[ 7x + 11 - 11 = 81 - 11 \][/tex]

Esto simplifica a:
[tex]\[ 7x = 70 \][/tex]

Paso 3: Resolver para \( x \) dividiendo ambos lados entre 7:
[tex]\[ x = \frac{70}{7} \][/tex]

Simplificando:
[tex]\[ x = 10 \][/tex]

Por lo tanto, el valor de \( x \) es \( 10 \).

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