we have the expression
[tex]-\frac{1}{2}(6x+9)-(x-\frac{3}{2})[/tex]step 1
Apply distributive property first term
[tex]\begin{gathered} -\frac{1}{2}(6x)-\frac{1}{2}(9)-(x-\frac{3}{2}) \\ -3x-\frac{9}{2}-(x-\frac{3}{2}) \end{gathered}[/tex]step 2
Remove the parenthesis
[tex]-3x-\frac{9}{2}-x+\frac{3}{2}[/tex]step 3
Combine like terms
[tex]\begin{gathered} -4x-\frac{6}{2} \\ -4x-3 \end{gathered}[/tex]