How do you solve #3(a + 2) + 5 = 2a + 4 #?

1 Answer
Apr 12, 2018

Answer:

The solutions is #a=-7#.

Explanation:

Use the distributive property to expand the parentheses, then isolate #a#:

#3(a+2)+5=2a+4#

#3a+6+5=2a+4#

#3a+11=2a+4#

#3a+11color(blue)-color(blue)11=2a+4color(blue)-color(blue)11#

#3acolor(red)cancelcolor(Black)(color(black)+11color(blue)-color(blue)11)=2a+4color(blue)-color(blue)11#

#3a=2a+4color(blue)-color(blue)11#

#3a=2a-7#

#3acolor(blue)-color(blue)(2a)=2a-7color(blue)-color(blue)(2a)#

#3acolor(blue)-color(blue)(2a)=color(red)cancelcolor(black)(2a)-7color(red)cancelcolor(blue)(color(blue)-2a)#

#3acolor(blue)-color(blue)(2a)=-7#

#a=-7#

That's the solution. Hope this helped!