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5x+1/3=2x-2/3
We move all terms to the left:
5x+1/3-(2x-2/3)=0
We add all the numbers together, and all the variables
5x-(+2x-2/3)+1/3=0
We get rid of parentheses
5x-2x+2/3+1/3=0
We multiply all the terms by the denominator
5x*3-2x*3+2+1=0
We add all the numbers together, and all the variables
5x*3-2x*3+3=0
Wy multiply elements
15x-6x+3=0
We add all the numbers together, and all the variables
9x+3=0
We move all terms containing x to the left, all other terms to the right
9x=-3
x=-3/9
x=-1/3
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