Question

How do you solve `0.25( x + 40) - 0.05( x - 60) = 19`?

Answer 1

`x=30`

Explanation:

`color(red)(0.25)(x+40)-color(blue)(0.05)(x-60)=19`

`color(red)(0.25)x+color(red)(0.25) * 40 -color(blue)(0.05)x -color(blue)(0.05) *-60=19color(white)(aaa)` Distribute

`0.25x +10-0.05x+3=19color(white)(aaa)` Combine like terms
*

`0.20x+13=color(white)(aa)19color(white)(aaaaa)` Subtract 13 from both sides
`color(white)(aaa.a)-13color(white)(aa)-13`

`(0.20x)/(0.20)=6/0.20color(white)(aaaaa)` Divide both sides by 0.20

`x=30`