How do you solve #2( w- 1) + 4= 4( w + 1)#?

1 Answer
Oct 31, 2016

#x=color(blue)(-1)#

Explanation:

Solve: #2(w-1)+4=4(w+1)#

Expand #2(w-1)# using the distributive property: #a(b+c)=ab+ac#.

#2w-2+4=4(w+1)#

Expand #4(w+1)#.

#2w-2+4=4w+4#

Simplify.

#2w+2=4w+4#

Subtract #2w# from both sides.

#2=4w+4-2w#

Simplify.

#2=2w+4#

Subtract #4# from both sides.

#-4+2=2w#

Simplify.

#-2=2w#

Divide both sides by #2#.

#(-2)/2=w#

Simplify.

#-1=w#

Switch sides.

#w=-1#