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1/3x+5/6x+4/3+7/6x=10/3
We move all terms to the left:
1/3x+5/6x+4/3+7/6x-(10/3)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 6x!=0We add all the numbers together, and all the variables
x!=0/6
x!=0
x∈R
1/3x+5/6x+7/6x+4/3-(+10/3)=0
We get rid of parentheses
1/3x+5/6x+7/6x+4/3-10/3=0
We calculate fractions
6x/162x^2+(189x+5)/162x^2+(-60x+4)/162x^2=0
We multiply all the terms by the denominator
6x+(189x+5)+(-60x+4)=0
We get rid of parentheses
6x+189x-60x+5+4=0
We add all the numbers together, and all the variables
135x+9=0
We move all terms containing x to the left, all other terms to the right
135x=-9
x=-9/135
x=-1/15
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