Explanation:
[tex]\frac{4x+1}{2} +\frac{6x+3}{3}[/tex]
Make the denominators the same by cross-multiplying
[tex]\frac{3(4x+1)+2(6x+3)}{6}[/tex]
multiply
[tex]\frac{12x+3+12x+6}{6}[/tex]
Add
[tex]\frac{24x+9}{6}[/tex]
Simplify
[tex]\frac{8x+3}{2}[/tex]
If you want, this can be your final answer. But if you want something a bit more specific, we can simplify this further, to:
[tex]4x+\frac{3}{2}[/tex]
Answer:
[tex]\frac{8x+3}{2}[/tex]
or
[tex]4x+\frac{3}{2}[/tex]
