Question

Simplify your expression. Show all of your work.


`(2)/(3)` (x -
`(5)/(6)`) + 4x

Answer 1

• 14x/3 - 5/9

Explanation:

This problem requires distributive property. Simplify it to obtain your answer.

• 2/3(x - 5/6) + 4x
• => 2x/3 - 10/18 + 4x
• => 2x/3 - 10/18 + 12x/3
• => 14x/3 - 5/9

Hence, the simplified expression is 14x/3 - 5/9.

Answer 2

`(42x-5)/(9)`

Explanation:

`(2)/(3) (x - (5)/(6) ) + 4x`

`(2x)/(3) -((2)/(3))((5)/(6))+4x`

`(2x)/(3)-(10)/(18) +4x`

`(12x-10+72x)/(18)`

`(84x-10)/(18)`

`(2(42x-5))/(18)`

`(42x-5)/(9)`