How do you solve #2/5w = 1/2w + 3#?

Question

1967 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-05T05:58:22

#w = -30#

Get all the #w#'s to one side of the equation by subtracting #1/2w # from both sides.
#2/5w = 1/2 w + 3#

#2/5w- 1/2 w = 1/2 w + 3 - 1/2 w#

#2/5w- 1/2 w = 3#

Simplify the left side by getting common denominators

#4/10w- 5/10 w = 3#

#-1/10 w = 3#

Now, divide by (or multiply by the reciprocal of #-1/10#

#-1/10 w * -10 = 3 * -10#

#w = -30#