Consider the first equation. Use the distributive property to multiply $6$ by $x+1$.
$$6x+6-\frac{1}{2}-\frac{9x+1}{4+1}=2$$
Subtract $\frac{1}{2}$ from $6$ to get $\frac{11}{2}$.
$$6x+\frac{11}{2}-\frac{9x+1}{4+1}=2$$
Add $4$ and $1$ to get $5$.
$$6x+\frac{11}{2}-\frac{9x+1}{5}=2$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $5$ is $10$. Multiply $\frac{11}{2}$ times $\frac{5}{5}$. Multiply $\frac{9x+1}{5}$ times $\frac{2}{2}$.
