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3/5x-5=1/5x+3
We move all terms to the left:
3/5x-5-(1/5x+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-1/5x-3-5=0
We multiply all the terms by the denominator
-3*5x-5*5x+3-1=0
We add all the numbers together, and all the variables
-3*5x-5*5x+2=0
Wy multiply elements
-15x-25x+2=0
We add all the numbers together, and all the variables
-40x+2=0
We move all terms containing x to the left, all other terms to the right
-40x=-2
x=-2/-40
x=1/20
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