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(3x+3)/2 -4x+12 = (x-1)/6 - (-6x+1)/9
Denominador comun
9(3x+3)/18 + 18(-4x+12)/18 = 3(x-1)/18 - 2(-6x+1)/18
Al multiplicar por 18 nos quitamos el denominador
9(3x+3) + 18(-4x+12) = 3(x-1) - 2(-6x+1)
Desarrollamos los parentesis
27x+27 -72x+216 = 3x-3 + 12x-2
Sumamos y restamos
-45x+243 = 15x-5
248=60x
x=248/60