Answer:
It appears that the answer is D.
Step-by-step explanation:
[tex]Steps\\$-7x=2x+12$\\\\$\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}:$\\-7x-2x=2x+12-2x\\\\\\\mathrm{Simplify}:\\-9x=12\\\\\mathrm{Divide\:both\:sides\:by\:}-9:\\\frac{-9x}{-9}=\frac{12}{-9}\\\\\mathrm{Simplify}:\\\frac{-9x}{-9}=\frac{12}{-9}\\\\\mathrm{Part\ one:Simplify\:}\frac{-9x}{-9}:\quad x\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{9x}{9}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{9}{9}=1\\=x[/tex]
[tex]\mathrm{Part\ two:Simplify\:}\frac{12}{-9}:\quad -\frac{4}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{12}{9}\\\\\mathrm{Cancel\:the\:common\:factor:}\:3\\=-\frac{4}{3}\\\\x=-\frac{4}{3}\\[/tex]
