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3x-2/5x-1=3x+1/5x+2
We move all terms to the left:
3x-2/5x-1-(3x+1/5x+2)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+2)!=0We get rid of parentheses
x∈R
3x-2/5x-3x-1/5x-2-1=0
We multiply all the terms by the denominator
3x*5x-3x*5x-2*5x-1*5x-2-1=0
We add all the numbers together, and all the variables
3x*5x-3x*5x-2*5x-1*5x-3=0
Wy multiply elements
15x^2-15x^2-10x-5x-3=0
We add all the numbers together, and all the variables
-15x-3=0
We move all terms containing x to the left, all other terms to the right
-15x=3
x=3/-15
x=-1/5
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