times both sides by 2 to clear fractions
8(3x+12)=36+24x+15
distribute
24x+96=24x+51
minus24x both sides
96=51
false
no solution
but, if it was[tex]4(3x+12)=18+ \frac{1}{2(24x+15)} [/tex] then the answes are
[tex]x= \frac{-75- \sqrt{2029} }{48} [/tex] and [tex]x= \frac{-75+ \sqrt{2029} }{48}[/tex]
