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2/3x+5=6/3x-11
We move all terms to the left:
2/3x+5-(6/3x-11)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-11)!=0We get rid of parentheses
x∈R
2/3x-6/3x+11+5=0
We multiply all the terms by the denominator
11*3x+5*3x+2-6=0
We add all the numbers together, and all the variables
11*3x+5*3x-4=0
Wy multiply elements
33x+15x-4=0
We add all the numbers together, and all the variables
48x-4=0
We move all terms containing x to the left, all other terms to the right
48x=4
x=4/48
x=1/12
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