12x-6=16+8x solve for x

Answer:
Step-by-step explanation:
[tex]\frac{x+2}{6}=\frac{2x-10}{8} \\\\Cross\:Multiply\\\\8x+16=12x-60\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\8x+16-16=12x-60-16\\\\Simplify\\8x=12x-76\\\\\mathrm{Subtract\:}12x\mathrm{\:from\:both\:sides}\\8x-12x=12x-76-12x\\\\Simplify\\-4x=-76\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{-76}{-4}\\\\Simplify\\\\x =19[/tex]