Algebra Help!

[Nupine]

Ok...I'm going to make this quick. I do an online school, and there isn't many examples for math, and the teacher is useless.
I'm trying to solve the equation: 12x + 22 = 10x – 4, solve for x
I simply don't understand how to solve this, my sister says it is 28, since 12+22=34, 10-4=6, and 34-6=28, but she isn't sure and I'm not either. Any help would be SO appreciated.
Ashlyn

 

[Nupine]

I hate to bumb this....but I really need help!

 

[Little Red Chicken]

You have to have all the x's on one side of the equation and the other numbers on the other side and then solve for x...

12x + 22 = 10x - 4
subtract 10x from each side -10x -10x
that gives you 2x + 22 = -4
subtract 22 from each side -22 -22
that gives you 2x = -26
divide each side by 2 x = -13
substitue you answer back into the original equation to check your answer
12 (-13) + 22 = 10 (-13) - 4
-156 + 22 = -130 - 4
-134 = -134

 

[The Poultry Peanut]

Pull your x terms to one sine and non x terms to the other side and combine. After you do that your problem should look something like this: Ex. 5x=25 you would divide everything by 5 which would leave you x=5.

 

[muddypuddles]

Little Red Chicken is correct.

 

[greeneggsandham]

Little red chicken can you come tutor my husband? He's going back to school after 30 years

And algebra is a subject he needs to take.