SOLUTION: My question is when doing a problem example, 10x-22=29-7x . I under stand that I need to get my X on one side of the equation and I do that by adding or subracting on both sides.

Question 510926: My question is when doing a problem example, 10x-22=29-7x . I under stand that I need to get my X on one side of the equation and I do that by adding or subracting on both sides. How do you know witch side to pick. and wether to add or subract?
10x-22= 29-7x
-7x 29
3x -51 =
-10x -51 divid each by 10 x= 5.1
Thank you
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
10x-22=29-7x
Generally we want it on the left, but it is not necessary, sometimes it's easier to select the side which will make x positive (the final solution, x has to be positive)
:
add 7x to both sides, that gets rid of x on the right side
10x + 7x - 22 = 29 -7x +7x
17x - 22 = 29
:
add 22 to both sides, that gets the numbers on the right side
17x - 22 + 22 = 29 + 22
17x = 51
;
Divide both sides by 17 to get 1x
x =
x = 3
:
:
See if this works out in the original equation, replace x with 3
10(3) - 22 = 29 - 7(3)
30 - 22 = 29 - 21
8 = 8; equality reigns, x=3 is correct!
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