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2/5x+4=1/5x+6
We move all terms to the left:
2/5x+4-(1/5x+6)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+6)!=0We get rid of parentheses
x∈R
2/5x-1/5x-6+4=0
We multiply all the terms by the denominator
-6*5x+4*5x+2-1=0
We add all the numbers together, and all the variables
-6*5x+4*5x+1=0
Wy multiply elements
-30x+20x+1=0
We add all the numbers together, and all the variables
-10x+1=0
We move all terms containing x to the left, all other terms to the right
-10x=-1
x=-1/-10
x=1/10
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