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Solve for [tex]\( x \)[/tex]:
[tex]\[ 3x = 6x - 2 \][/tex]



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Solve for [tex]\( x \)[/tex]:
[tex]\[ 2x \ \textless \ -x + 20 \][/tex]

Determine the value of [tex]\( x \)[/tex].


Sagot :

Claro, para resolver la ecuación [tex]\( 2x = -x + 20 \)[/tex] sigamos los siguientes pasos:

1. Reúna términos semejantes:
[tex]\[ 2x + x = 20 \][/tex]
En este paso, sumamos [tex]\( x \)[/tex] a ambos lados de la ecuación para tener todos los términos de [tex]\( x \)[/tex] en un lado.

2. Simplifique:
[tex]\[ 3x = 20 \][/tex]
Al sumar [tex]\( 2x \)[/tex] y [tex]\( x \)[/tex], obtenemos [tex]\( 3x \)[/tex].

3. Despeje [tex]\( x \)[/tex]:
[tex]\[ x = \frac{20}{3} \][/tex]
Dividimos ambos lados de la ecuación entre 3 para solucionar por [tex]\( x \)[/tex].

Entonces, el valor de [tex]\( x \)[/tex] es:
[tex]\[ x = \frac{20}{3} \][/tex]