Question

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

Please show work so I will understand
2(x/2 -5)-3/2(x+ 7/4)

Answer 1

`-(x)/(2)-(101)/(8)`

Explanation:

We want to simplify:

`2((x)/(2)-5)-(3)/(2)(x+(7)/(4))`

We expand using the distributive property to get:

`2*(x)/(2)-2*5-(3)/(2)*x-(3)/(2)*(7)/(4))`

We now simplify to get:

`x-10-(3x)/(2)-(21)/(8)`

Group like terms to get:

`x-(3x)/(2)-(21)/(8)-10`

We combine the like terms to get:

`-(x)/(2)-(101)/(8)`