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10/x+4=15/4x+4
We move all terms to the left:
10/x+4-(15/4x+4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 4x+4)!=0We get rid of parentheses
x∈R
10/x-15/4x-4+4=0
We calculate fractions
40x/4x^2+(-15x)/4x^2-4+4=0
We add all the numbers together, and all the variables
40x/4x^2+(-15x)/4x^2=0
We multiply all the terms by the denominator
40x+(-15x)=0
We get rid of parentheses
40x-15x=0
We add all the numbers together, and all the variables
25x=0
x=0/25
x=0
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