Question

How do you solve `-6w-19=-4w-17`?

Answer 1

`w=-1`

Explanation:

`"collect terms in w on the left side and numeric values"`
`"on the right side of the equation"`

`"add 4w to both sides"`

`-6w+4w-19-cancel(-4w)cancel(+4w)-17`

`rArr-2w-19=-17`

`"add 19 to both sides"`

`-2wcancel(-19)cancel(+19)=-17+19`

`rArr-2w=2`

`"divide both sides by "-2`

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

`rArrw=-1`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=(-6xx-1)-19=6-19=-13`

`"right "=(-4xx-1)-17=4-17=-13`

`rArrw=-1" is the solution"`