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2/5x+5=3/5x-2
We move all terms to the left:
2/5x+5-(3/5x-2)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-2)!=0We get rid of parentheses
x∈R
2/5x-3/5x+2+5=0
We multiply all the terms by the denominator
2*5x+5*5x+2-3=0
We add all the numbers together, and all the variables
2*5x+5*5x-1=0
Wy multiply elements
10x+25x-1=0
We add all the numbers together, and all the variables
35x-1=0
We move all terms containing x to the left, all other terms to the right
35x=1
x=1/35
x=1/35
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