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first degree equation 11 – 5(3x + 2) + 7x = 1 – 8x

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Answer to a math question first degree equation 11 – 5(3x + 2) + 7x = 1 – 8x

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Gene
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Respuesta = Para resolver la ecuación de primer grado \( 11 - 5(3x + 2) + 7x = 1 - 8x \), primero simplificaremos ambos lados de la ecuación y luego resolveremos \(x\) . Primero, expande y simplifica el lado izquierdo de la ecuación: \[ 11 - 5(3x + 2) + 7x = 11 - 15x - 10 + 7x \] \[ 11 - 10 - 15x + 7x = 1 - 8x \] \[ 1 - 8x = 1 - 8x \] Ahora, simplifica aún más el lado izquierdo: \[ 1 - 8x = 1 - 8x \] Dado que ambos lados de la ecuación son idénticos, esto indica que la ecuación es una identidad, lo que significa que es cierta para todos los valores de \(x\). Por tanto, la solución de la ecuación es: \[ \boxed{x \text{ es cualquier número real}} \]

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