Questions: -4x-[4-(3-2x)]+5x

-4x-[4-(3-2x)]+5x
Transcript text: $-\{4x-[4-(3-2x)]+5x\}$
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Solution

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To simplify the given expression, we need to carefully handle the nested brackets and distribute the negative sign across the terms. We will first resolve the innermost parentheses, then move outward, simplifying step by step.

Paso 1: Expresión Original

Comenzamos con la expresión original: \[ -\{4x - [4 - (3 - 2x)] + 5x\} \]

Paso 2: Resolver los Paréntesis Internos

Primero, resolvemos el paréntesis interno \(3 - 2x\): \[ 4 - (3 - 2x) = 4 - 3 + 2x = 1 + 2x \]

Paso 3: Sustitución y Simplificación

Sustituyendo en la expresión original, tenemos: \[ -\{4x - (1 + 2x) + 5x\} \] Ahora simplificamos: \[ 4x - 1 - 2x + 5x = (4x - 2x + 5x) - 1 = 7x - 1 \]

Paso 4: Aplicar el Signo Negativo

Finalmente, aplicamos el signo negativo: \[ -(7x - 1) = -7x + 1 \]

Respuesta Final

La expresión simplificada es: \[ \boxed{1 - 7x} \]

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