Question

How do you solve `8( 5w - 20) = 20+ 20w`?

Answer 1

`w=9`

Explanation:

`40w-160=20+20w` distribute
`20w=180` add 20w and add 160 to both sides to have the term with `w` on one side
`w=9` divide both sides by coefficient, 20, to isolate `w`

Answer 2

`w=9`

Explanation:

`8(5w-20)=20+20w` (Distribute the 8 to the numbers in the bracket)

`40w-160=20+20w` (subtract 20w from both sides)

`20w-160=20` (add 160 to both sides)

`20w=180` (Divide both sides by 20 to isolate the variable)

`w=9`

Check the answer by plugging in the answer for w to see if it works

`8(5(9) -20) = 20+20(9)`

`8(45-20)=20+180`

`8(25)=200`

`200=200`