1/3x-3=-5/3x+3

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Solution for 1/3x-3=-5/3x+3 equation:



1/3x-3=-5/3x+3
We move all terms to the left:
1/3x-3-(-5/3x+3)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+3)!=0
x∈R
We get rid of parentheses
1/3x+5/3x-3-3=0
We multiply all the terms by the denominator
-3*3x-3*3x+1+5=0
We add all the numbers together, and all the variables
-3*3x-3*3x+6=0
Wy multiply elements
-9x-9x+6=0
We add all the numbers together, and all the variables
-18x+6=0
We move all terms containing x to the left, all other terms to the right
-18x=-6
x=-6/-18
x=1/3

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