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3/5x+10=4/5x-5
We move all terms to the left:
3/5x+10-(4/5x-5)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-5)!=0We get rid of parentheses
x∈R
3/5x-4/5x+5+10=0
We multiply all the terms by the denominator
5*5x+10*5x+3-4=0
We add all the numbers together, and all the variables
5*5x+10*5x-1=0
Wy multiply elements
25x+50x-1=0
We add all the numbers together, and all the variables
75x-1=0
We move all terms containing x to the left, all other terms to the right
75x=1
x=1/75
x=1/75
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