5x+1/3=-2/3-x

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



5x+1/3=-2/3-x
We move all terms to the left:
5x+1/3-(-2/3-x)=0
Domain of the equation: 3-x)!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-3
x!=-3/1
x!=-3
x∈R
We add all the numbers together, and all the variables
5x-(-1x-2/3)+1/3=0
We get rid of parentheses
5x+1x+2/3+1/3=0
We multiply all the terms by the denominator
5x*3+1x*3+2+1=0
We add all the numbers together, and all the variables
5x*3+1x*3+3=0
Wy multiply elements
15x+3x+3=0
We add all the numbers together, and all the variables
18x+3=0
We move all terms containing x to the left, all other terms to the right
18x=-3
x=-3/18
x=-1/6

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