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1/5x-3=2/5x+4
We move all terms to the left:
1/5x-3-(2/5x+4)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+4)!=0We get rid of parentheses
x∈R
1/5x-2/5x-4-3=0
We multiply all the terms by the denominator
-4*5x-3*5x+1-2=0
We add all the numbers together, and all the variables
-4*5x-3*5x-1=0
Wy multiply elements
-20x-15x-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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