Question

1/3x-3 + 1/4x+4 = 1/12x-12
$\binom{1}{3x - 3} + \binom{1}{4x + 4} = \binom{1}{12x - 12}$
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Answer 1

Respuesta:

✤Hola!! Espero que mi resolución te sirva✌✌

Explicación paso a paso:

$\left(\frac{1}{3x-3}\right)+\left(\frac{1}{4x+4}\right)=\left(\frac{1}{12x-12}\right)$

$\frac{1}{3x-3}+\frac{1}{4x+4}=\frac{1}{12x-12}$

$\mathrm{Multiplicar\:por\:el\:minimo\:comun\:multiplo=}12\left(x-1\right)\left(x+1\right)$

$\frac{1}{3x-3}\cdot \:12\left(x-1\right)\left(x+1\right)+\frac{1}{4x+4}\cdot \:12\left(x-1\right)\left(x+1\right)=\frac{1}{12x-12}\cdot \:12\left(x-1\right)\left(x+1\right)$

$4\left(x+1\right)+3\left(x-1\right)=x+1$

$7x+1=x+1$

$7x=x$

$\mathrm{Restar\:}x\mathrm{\:de\:ambos\:lados}$

$7x-x=x-x$

$6x=0$

$\mathrm{Dividir\:ambos\:lados\:entre\:}6$

$\frac{6x}{6}=\frac{0}{6}$

$x=0$