Question

How do you solve `3( 2w + 8) = 60`?

Answer 1

`w = 6`

Explanation:

Divide the equation by 3.
`implies(2w + 8) = 20`
Subtract 8 from both sides.
`implies 2w = 12`
Divide by 2.
`implies w = 6`

Answer 2

`w=6`

Explanation:

`"divide both sides by "3`

`cancel(3)/cancel(3)(2w+8)=60/3`

`rArr2w+8=20`

`"subtract 8 from both sides"`

`2wcancel(+8)cancel(-8)=20-8`

`rArr2w=12`

`"divide both sides by "2`

`(cancel(2) w)/cancel(2)=12/2`

`rArrw=6`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

`3(12+8)=3xx20=60=" right side"`

`rArrw=6" is the solution"`