Answer by Mimiwhatsup:
[tex]-6x+12>24\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\-6x+12-12>24-12\\Simplify\\-6x>12\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\left(-6x\right)\left(-1\right)<12\left(-1\right)\\Simplify\\6x<-12\\\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}<\frac{-12}{6}\\Simplify\\\frac{6x}{6}\\\frac{6x}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{6}{6}=1\\=x\\\frac{-12}{6}=-2\\\frac{-12}{6}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\[/tex]
[tex]=-\frac{12}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{12}{6}=2\\=-2\\Answer is: x<-2[/tex]
