1/3x+10=2/3x+30

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Solution for 1/3x+10=2/3x+30 equation:



1/3x+10=2/3x+30
We move all terms to the left:
1/3x+10-(2/3x+30)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+30)!=0
x∈R
We get rid of parentheses
1/3x-2/3x-30+10=0
We multiply all the terms by the denominator
-30*3x+10*3x+1-2=0
We add all the numbers together, and all the variables
-30*3x+10*3x-1=0
Wy multiply elements
-90x+30x-1=0
We add all the numbers together, and all the variables
-60x-1=0
We move all terms containing x to the left, all other terms to the right
-60x=1
x=1/-60
x=-1/60

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