SOLUTION: 6x-7= 2x=29 My teach helped me to understand this. I got an answer of x=9. My teacher actually did the work for me and I have a test tomorrow. I don't want to fail! I still don't

Question 228973: 6x-7= 2x=29 My teach helped me to understand this. I got an answer of x=9. My teacher actually did the work for me and I have a test tomorrow. I don't want to fail! I still don't understand it. Please help my by tomorrow! Thanks!~
Found 4 solutions by CassieLynn, stanbon, ankor@dixie-net.com, josmiceli:
Answer by CassieLynn(3)   (Show Source): You can put this solution on YOUR website!
6x-7=2x=29
+2x +2x
______________
8x-7=29
+7 +7
_________
8x=36
36/8
x=4.5
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
6x-7= 2x+29
My teacher helped me to understand this. I got an answer of x=9.
---------------------------------
Subtract 2x from both sides:
4x-7 = 29
------------
Add 7 to both sides to get:
4x = 36
-------------------------
Divide both sides by 4 to get:
x = 9
=============================
Cheers,
Stan H.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
6x - 7 = 2x + 29
:
We want to perform operations on both sides of the equation to get the variable
(x) on one side by itself, usually the left side
;
Add 7 to both sides
6x - 7 + 7 = 2x + 29 + 7
so we have
6x = 2x + 36
:
Subtract 2x from both sides
6x - 2x = 2x - 2x + 36
we have
4x = 36
:
Divide both sides by 4
=
we have
x = 9
;
;
Confirm your answer by replacing x with 9 in the original problem
6x - 7 = 2x + 29
6(9) - 7 = 2(9) + 29
54 - 7 = 18 + 29
47 = 47; confirms our solution
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

The only thing you have to remember about equations is:
whatever you do to one side, you have to do the same thing
to the other side. Think of the "=" sign as a balence point,
and you have to keep the equation balanced.
----------------------------------
OK, now add to both sides

It's still balanced since I did the sme thing to both sides
Now subtract from both sides

Now divide both sides by

The important thing is that I kept the quation balanced
by doing the same thing to both sides at each step.
You can always check your work, too
by plugging the back into the original equation

If I was right, the equation will be balanced

OK

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