Question

0.2(d-6)=0.3d+5-3+0.1d

Answer 1

Hi,

Whoa!! Alrighty, this can be intimidating, but there are two things you need to know when solving these types of problems. #1: Clean up and #2: Plug N' Chug. I promise if you get these down, you'll be doing these problems like a pro!!

So, you are basically trying to find the value to equal d.

#1: Clean Up!
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
0.2d - 1.2 = 0.3d + 5 - 3 + 0.1d (Distribute)
0.2d - 1.2 = 0.4d + 2 (combine like terms)

Alright at this point, your problem doesn't look too bad- now you have to just plug n' chug- so let's solve!

0.2d - 1.2 = 0.4d + 2
0.2d = 0.4d + 1.4
-0.2d = 1.4
d = -7

And there is your answer.

Answer 2

first distribute
a(b+c)=ab+ac
0.2(d-6)=0.2d-1.2
now we have
0.2d-1.2=0.3d+5-3+0.1d
gropu like terms
0.2d-1.2=0.3d+0.1d+5-3
add like terms
0.2d-1.2=0.4d+2
subtract 0.2d from both sides
-1.2=0.2d+2
subtract 2 from both sides
-3.2=0.2d
divide both sides y 0.2
-16=d