Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{6x+1}{3}+1=\frac{x-3}{6}[/tex]
To make things simple, multiply everything by the LCM of the denominator. In this case, the LCM of 3 and 6 is 6.
[tex]6(\frac{6x+1}{3}+1) =6(\frac{x-3}{6}) \\6(\frac{6x+1}{3})+6(1)=(x-3) \\ 2(6x+1)+6=x-3[/tex]
Now, simplify and solve for x:
[tex]12x+2+6=x-3\\12x+8=x-3\\11x+8=-3\\11x=-11\\x=-1[/tex]
