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solve for x=8/9x+9=11

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Kristina K. | A Tutor With Skills, Experience, Knowledge & PatienceA Tutor With Skills, Experience, Knowled...
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For the problem
x=8/(9x+9)=11
First, you can cross multiply. Then, you get 8=99x+99    (99x+99) comes from distributing the 11 to 9x and to 9
 
8=99x+99
-99       -99(subtract 99 from both sides of the equation in order to isolate x)
You will get -91=99x
You can now divide both sides of this equation by 99 and then you can solve for x
(-91/99)=(99x/99)
(-91/99)=x
 
You can check your answer by plugging its value into the original equation. If you get 11=11, then you have the right value for x.
 
 
 
George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"
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Cristina
 
Assuming the starting equation is (8/9)*x+9=11  or (8x)/9+9=11:
 
First isolate the x term by subtracting 9 from both sides:
 
(8x)/9 + 9 - 9 = 11 - 9
(8x)/9            =    2
 
Now multiply both sides by 9/8 to get:
 
((8x)/9)*(9/8)  = 2  *  9/8
        1x    =          18/8
 
The right side can be reduced, by dividing the numerator and denominator by 2:
 
         x    =           9/4
 
Hope this helps.
 
George T.