Multiply $\frac{3}{4}$ times $\frac{x}{2}$ by multiplying numerator times numerator and denominator times denominator.
$$\frac{x}{2}+\frac{3x}{4\times 2}+9=x$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $4\times 2$ is $2\times 4$. Multiply $\frac{x}{2}$ times $\frac{4}{4}$.
$$\frac{4x}{2\times 4}+\frac{3x}{2\times 4}+9=x$$
Since $\frac{4x}{2\times 4}$ and $\frac{3x}{2\times 4}$ have the same denominator, add them by adding their numerators.
$$\frac{4x+3x}{2\times 4}+9=x$$
Combine like terms in $4x+3x$.
$$\frac{7x}{2\times 4}+9=x$$
To add or subtract expressions, expand them to make their denominators the same. Multiply $9$ times $\frac{2\times 4}{2\times 4}$.