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3/5x-6=-2/5x-3
We move all terms to the left:
3/5x-6-(-2/5x-3)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-3)!=0We get rid of parentheses
x∈R
3/5x+2/5x+3-6=0
We multiply all the terms by the denominator
3*5x-6*5x+3+2=0
We add all the numbers together, and all the variables
3*5x-6*5x+5=0
Wy multiply elements
15x-30x+5=0
We add all the numbers together, and all the variables
-15x+5=0
We move all terms containing x to the left, all other terms to the right
-15x=-5
x=-5/-15
x=1/3
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