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1/5x+16=4/5x-5
We move all terms to the left:
1/5x+16-(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
1/5x-4/5x+5+16=0
We multiply all the terms by the denominator
5*5x+16*5x+1-4=0
We add all the numbers together, and all the variables
5*5x+16*5x-3=0
Wy multiply elements
25x+80x-3=0
We add all the numbers together, and all the variables
105x-3=0
We move all terms containing x to the left, all other terms to the right
105x=3
x=3/105
x=1/35
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