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1/5x+4=2/5x+7
We move all terms to the left:
1/5x+4-(2/5x+7)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+7)!=0We get rid of parentheses
x∈R
1/5x-2/5x-7+4=0
We multiply all the terms by the denominator
-7*5x+4*5x+1-2=0
We add all the numbers together, and all the variables
-7*5x+4*5x-1=0
Wy multiply elements
-35x+20x-1=0
We add all the numbers together, and all the variables
-15x-1=0
We move all terms containing x to the left, all other terms to the right
-15x=1
x=1/-15
x=-1/15
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