2(x + 6) − 10 = 12 + 4(x − 1 (please explain ) i hope you see this mathstudent55

Question

dls · Answer

@mathstudent55

anonymous · Answer

i didnt know you can tag somebody i like how that person explains it though

anonymous · Answer

@mathstudent55

anonymous · Answer

2(x + 6) − 10 = 12 + 4(x − 1) 

You should first distribute 2(x + 6) and 4(x − 1) 

Do you know how do the distributive property?

anonymous · Answer

yea so it wwould be 2x+12=12+4x-4 ?

anonymous · Answer

yeah!  ^^

2(x + 6) − 10 = 12 + 4(x − 1) 

2x+12-10=12+4x-4

Now you combine like terms to make the problem easier to solve. Do you know how to combine like terms?

anonymous · Answer

major issues on that

anonymous · Answer

Okay, no worries. When i first heard of it i panicked. 

Combing like terms is just adding,or subtracting numbers that have the same variable or exponent. 

ie: 

3x+5xy-x

It helps me when I circle the numbers with the same variable or exponents and the operation in front of it, and do the same with the other numbers except with differ shapes. Because it helps me to distinguish the variables and helps me know which operation to use. 

3x+5xy-x combine like terms becomes 2x+5xy

do you get how to combine like terms now?

anonymous · Answer

is that a diffrent example or from the problem show me from the prob >.<

anonymous · Answer

Differ. :3

anonymous · Answer

O.O it would help if you showed me >.< step by step!!!! ahhh!!! >.<

anonymous · Answer

Ah. Sorry. 

2(x + 6) − 10 = 12 + 4(x − 1) 
Distribute
2x+12-10=12+4x-4
Combine like terms
2x+2=8+4x

Move all the x's to one side...smaller to bigger

2x+2=8+4x
-2x         -2x
------------
  2=8+2x

solve for x 
2=8+2x
-8  -8
-----------
-6=2x
--   --
2     2
---------
x= ?

jhannybean · Answer

Hope you understand my methods :D

anonymous · Answer

huh? does it equal x+-2 ? im confused what did you get wrong???

anonymous · Answer

x=-2

anonymous · Answer

@KawasumiKimiko does it equal -3

jhannybean · Answer

Good job.

anonymous · Answer

Yeah.

anonymous · Answer

thanks

jhannybean · Answer

And then you plug x=-3 back in to your equation to check to see if it is a correct solution. 

2(x+6)−10=12+4(x−1)  when x=-3

2(-3+6) -10 = 12 + 4(-3-1)

2(3)-10 = 12 +4(-4)

6 -10 = 12  - 16

-4 = -4 $\checkmark$