[tex]Solution, solve\:for\:x,\:\frac{3x-15}{2}=4x\quad :\quad x=-3[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}2, \frac{3x-15}{2}\cdot \:2=4x\cdot \:2[/tex]
[tex]Refine, 3x-15=8x[/tex]
[tex]\mathrm{Add\:}15\mathrm{\:to\:both\:sides}, 3x-15+15=8x+15[/tex]
[tex]\mathrm{Simplify}, 3x=8x+15[/tex]
[tex]\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}, 3x-8x=8x+15-8x[/tex]
[tex]\mathrm{Simplify}, -5x=15[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5, \frac{-5x}{-5}=\frac{15}{-5}[/tex]
[tex]\mathrm{Simplify}, x=-3[/tex]
The correct answer is C. -3
Hope this helps!!!