How do you evaluate #2[ 5( w + 3) - ( 1+ w ) ] = 3( w + 2)#?

1 Answer
Sep 12, 2017

w= -22/5#

Explanation:

#2[5(w+3)−(1+w)]=3(w+2)#

Starting by expanding the equation, using the rule:
#a(b+c)=ab+ac#

We get:
#10(w+3)-2(1+w)=3w+6#
#10w+30-2-2w=3w+6#

Then adding like terms on both sides of the equation:
#8w+28=3w+6#

Subtracting 28 from both sides of the equation:
#8w+28-28=3w+6-28#
#8w=3w-22#

Then subtracting 3w from both sides to isolate the unknown's term:
#8w-3w=3w-3w-22#
#5w=-22#

Dividing both sides of equation by 5 we get:
#5w/5=-22/5#
#rarr w= -22/5#