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

1 Answer
Apr 11, 2018

Answer:

#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"#