x/x-7+3=7/x-7

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Solution for x/x-7+3=7/x-7 equation:



x/x-7+3=7/x-7
We move all terms to the left:
x/x-7+3-(7/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0
x∈R
We add all the numbers together, and all the variables
x/x-(7/x-7)-4=0
We get rid of parentheses
x/x-7/x+7-4=0
Fractions to decimals
-7/x+7-4+1=0
We multiply all the terms by the denominator
7*x-4*x+1*x-7=0
We add all the numbers together, and all the variables
4x-7=0
We move all terms containing x to the left, all other terms to the right
4x=7
x=7/4
x=1+3/4

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