2-1/3u=5/3u+6

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Solution for 2-1/3u=5/3u+6 equation:



2-1/3u=5/3u+6
We move all terms to the left:
2-1/3u-(5/3u+6)=0
Domain of the equation: 3u!=0
u!=0/3
u!=0
u∈R
Domain of the equation: 3u+6)!=0
u∈R
We get rid of parentheses
-1/3u-5/3u-6+2=0
We multiply all the terms by the denominator
-6*3u+2*3u-1-5=0
We add all the numbers together, and all the variables
-6*3u+2*3u-6=0
Wy multiply elements
-18u+6u-6=0
We add all the numbers together, and all the variables
-12u-6=0
We move all terms containing u to the left, all other terms to the right
-12u=6
u=6/-12
u=-1/2

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