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2/5x+10=1/5x+9
We move all terms to the left:
2/5x+10-(1/5x+9)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+9)!=0We get rid of parentheses
x∈R
2/5x-1/5x-9+10=0
We multiply all the terms by the denominator
-9*5x+10*5x+2-1=0
We add all the numbers together, and all the variables
-9*5x+10*5x+1=0
Wy multiply elements
-45x+50x+1=0
We add all the numbers together, and all the variables
5x+1=0
We move all terms containing x to the left, all other terms to the right
5x=-1
x=-1/5
x=-1/5
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