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124) Resolver la ecuación [tex]$30x - (-x + 6) + (-5x + 4) = -(5x + 6) + (-8 + 3x)$[/tex].

A. [tex]$x = 3$[/tex]
B. [tex]$x = -\frac{7}{3}$[/tex]
C. [tex]$x = -\frac{3}{7}$[/tex]
D. [tex]$x = \frac{7}{3}$[/tex]

125) Resolver la ecuación [tex]$15x + (-6x + 5) -$[/tex]

Sagot :

GinnyAnswer
¡Claro! Vamos a resolver la ecuación paso a paso.

Dada la ecuación:

[tex]\[ 30x - (-x + 6) + (-5x + 4) = -(5x + 6) + (-8 + 3x) \][/tex]

1. Eliminamos los paréntesis:

[tex]\[ 30x + x - 6 - 5x + 4 = -5x - 6 - 8 + 3x \][/tex]

2. Combinamos los términos semejantes en ambos lados de la ecuación:

Lado izquierdo:

[tex]\[ 30x + x - 5x - 6 + 4 = 26x - 2 \][/tex]

Lado derecho:

[tex]\[ -5x + 3x - 6 - 8 = -2x - 14 \][/tex]

La ecuación simplificada queda así:

[tex]\[ 26x - 2 = -2x - 14 \][/tex]

3. Movemos los términos con 'x' al mismo lado:

[tex]\[ 26x + 2x = -14 + 2 \][/tex]

[tex]\[ 28x = -12 \][/tex]

4. Despejamos 'x':

[tex]\[ x = \frac{-12}{28} \][/tex]

5. Simplificamos la fracción:

[tex]\[ x = \frac{-3}{7} \][/tex]

La solución para la ecuación es:

[tex]\[ x = -\frac{3}{7} \][/tex]

Por lo tanto, la respuesta correcta es:

C. [tex]\( x = -\frac{3}{7} \)[/tex]
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