solve for x?

Question

9/11x + 1/2 = 3/7 - 2/11x + 3/7

Answer 1

9/11x + 1/2 = 3/7 - 2/11x + 3/7
9/11x + 2/11x = 3/7 - 1/2 + 3/7
11/11x = x
x = 6/14 - 7/14 + 6/14
x = -1/14 + 6/14
x = 5/14

Answer 2

I'll assume that you mean (9/11)x and (2/11)x ....

Remember that when you add or subtract fractions, make sure their denominators are the same first...

Starting with...
(9/11)x + 1/2 = 3/7 - (2/11)x + 3/7

If you move the "1/2" and "(2/11)x" to the opposite sides of the equation, and combine the two "3/7"s you get...

(9/11)x + (2/11)x = 6/7 - 1/2

Then you can combine the (9/11)x and (2/11)x

(11/11)x = 6/7 - 1/2

(11/11) is equal to 1, so (11/11)x is 1x, or just plain x:

x = 6/7 - 1/2

To combine 6/7 and 1/2, you need to make their denominators the same. You can do this by multiplying each fraction by 1... in the form of (2/2) and (7/7) respectively.

x = (6/7)(2/2) - (1/2)(7/7)

This is equal to:

x = (12/14) - (7/14)

Answer: x = 5/14

If the problem was actually 9/(11x) and 2/(11x), you still use the same sort of procedure, and the answer is x = 14/5.

Answer 3

9/11x + 2/11x = 3/7 + 3/7 - 1/2
11/11x = 6/7 - 1/2
1x = 12/14 - 7/14
x = 5/14

Answer 4

9/11x+2/11x=3/7+3/7-1/2 grouping
(9+2)/11x=(6+6-7)/14
x=5/14

Answer 5

To solve this, you must first get the variable on one side and then simplify from there.
9/11x+1/2=3/7-2/11x+3/7
+2/11x,,,,,,,,,,,,+2/11x,,, , ,, ,,,, (to get the variable on one side)
11/11x+1/2=3/7+3/7
,,,,,,,,,x+1/2=3/7+3/7, , , , , , ,,,(11/11 = 1)
,,,,,,,,,,,,-1/2,,,,,,, ,, ,,,-1/2,,, ,, ,,(to isolate the x)
,,,,,,,,,x=3/7+3/7-1/2
,,,,,,,,,x=6/7,,,,,,,-1/2
,,,,,,,,,x=12/14,,,-7/14,, ,,,,, ,,, ,(here you have to get a common denominator and convert both fractions into it)
,,,,,,,,,x=5/14,,,,,, ,,,,,,, ,, ,,,,,,,,,(12-7=5)

Done. =) I hope that helped.
(Forgive the bad formating, here is a better image of it: http://i3.photobucket.com/albums/y66/thisleo/math.jpg )