Answer:
[tex]-\frac{x}{2}-\frac{101}{8}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]2(\frac{x}{2}-5)-\frac{3}{2}(x+\frac{7}{4})[/tex]
We expand using the distributive property to get:
[tex]2*\frac{x}{2}-2*5-\frac{3}{2}*x-\frac{3}{2}*\frac{7}{4})[/tex]
We now simplify to get:
[tex]x-10-\frac{3x}{2}-\frac{21}{8}[/tex]
Group like terms to get:
[tex]x-\frac{3x}{2}-\frac{21}{8}-10[/tex]
We combine the like terms to get:
[tex]-\frac{x}{2}-\frac{101}{8}[/tex]
