Question

Please help me solve x by simplifying both sides of the equation then isolating the variable! Show work. I’ll give brainliest!

Answer 1

Answer:

$x=-24$

This is your answer

Step-by-step explanation:

$-8+\frac{5}{6}x=-28\\\mathrm{Add\:}8\mathrm{\:to\:both\:sides}\\-8+\frac{5}{6}x+8=-28+8\\Simplify\\\frac{5}{6}x=-20\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{-120}{5}\\\mathrm{Simplify\:}\frac{5x}{5}\\\mathrm{Divide\:the\:numbers:}\:\frac{5}{5}=1\\=x$

$\mathrm{Simplify\:}\frac{-120}{5}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{120}{5}\\\mathrm{Divide\:the\:numbers:}\:\frac{120}{5}=24\\=-24\\x=-24$

hope this helps :)