1/3+3x=5/3-4x

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Solution for 1/3+3x=5/3-4x equation:



1/3+3x=5/3-4x
We move all terms to the left:
1/3+3x-(5/3-4x)=0
Domain of the equation: 3-4x)!=0
We move all terms containing x to the left, all other terms to the right
-4x)!=-3
x!=-3/1
x!=-3
x∈R
We add all the numbers together, and all the variables
3x-(-4x+5/3)+1/3=0
We get rid of parentheses
3x+4x-5/3+1/3=0
We multiply all the terms by the denominator
3x*3+4x*3-5+1=0
We add all the numbers together, and all the variables
3x*3+4x*3-4=0
Wy multiply elements
9x+12x-4=0
We add all the numbers together, and all the variables
21x-4=0
We move all terms containing x to the left, all other terms to the right
21x=4
x=4/21
x=4/21

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