Question

Combine like terms. What is the simpler form of the expression?

Answer 1

Answer:

$-\frac{x}{2}-\frac{101}{8}$

Step-by-step explanation:

We want to simplify:

$2(\frac{x}{2}-5)-\frac{3}{2}(x+\frac{7}{4})$

We expand using the distributive property to get:

$2*\frac{x}{2}-2*5-\frac{3}{2}*x-\frac{3}{2}*\frac{7}{4})$

We now simplify to get:

$x-10-\frac{3x}{2}-\frac{21}{8}$

Group like terms to get:

$x-\frac{3x}{2}-\frac{21}{8}-10$

We combine the like terms to get:

$-\frac{x}{2}-\frac{101}{8}$