Question

Item 7
Find the difference.
3/4(3x+6)−1/4(5x−24) =

Answer 1

The difference of the terms is
`x +(21)/(2)`

Explanation:

Here, the given expression is
`(3)/(4) (3x+6)  - (1)/(4)(5x -24)`

Solving the above terms,

`(3)/(4) (3x) +(3)/(4) (6)  - (1)/(4)(5x) +(1)/(4)(24) = (9x)/(4)  + (9)/(2)  - (5x)/(4)   + 6`

or,
`(9x)/(4)    - (5x)/(4)  + (9)/(2)  + 6  \\(9x - 5x)/(4)  + (18 + 24)/(4)  \\(4x)/(4)  +(21)/(2)`

=
`x +(21)/(2)`

So, the difference of the terms is
`x +(21)/(2)`