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Realice esta ecuación \( 8(x+2)-10=3(2 x-1)+9 \) y escriba la solución en el recuadro. Si la solución es negativa, ponga el signo menos.

Ask by Bob Chadwick. in Spain
Jan 23,2025

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La solución es \( x = 0 \).

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The Deep Dive

Para resolver la ecuación \( 8(x+2)-10=3(2 x-1)+9 \), primero simplificamos ambos lados: 1. \( 8(x+2) - 10 = 8x + 16 - 10 = 8x + 6 \) 2. \( 3(2x-1) + 9 = 6x - 3 + 9 = 6x + 6 \) Por lo tanto, tenemos la ecuación: \[ 8x + 6 = 6x + 6 \] Ahora, restamos \( 6x \) de ambos lados: \[ 8x - 6x + 6 = 6 \] \[ 2x + 6 = 6 \] Restamos 6 de ambos lados: \[ 2x = 0 \] Finalmente, dividimos entre 2: \[ x = 0 \] La solución es \( \boxed{0} \).

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