Question

Having a small brain moment, can you please help and show work

Answer 1

The value if x is 0.9875.

Explanation:

First, we have to get rid of brackets by expanding :

`0.5(2x + (3)/(4) ) - (1)/(3) (0.1 + x) = 1`

`0.5(2x) + 0.5( (3)/(4) ) - (1)/(3) (0.1) - (1)/(3) (x) = 1`

`x + (3)/(8) - (1)/(30) - (1)/(3) x = 1`

Next you have to collect like terms :

`x - (1)/(3) x + (3)/(8) - (1)/(30) = 1`

`(2)/(3) x + (41)/(120) = 1`

Lastly, you can solve x :

`(2)/(3) x = 1 - (41)/(120)`

`(2)/(3) x = (79)/(120)`

`x = (79)/(120) / (2)/(3)`

`x = (79)/(80)`

`x = 0.9875`