5/(x+1)=7/2x

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Solution for 5/(x+1)=7/2x equation:



5/(x+1)=7/2x
We move all terms to the left:
5/(x+1)-(7/2x)=0
Domain of the equation: (x+1)!=0
We move all terms containing x to the left, all other terms to the right
x!=-1
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
5/(x+1)-(+7/2x)=0
We get rid of parentheses
5/(x+1)-7/2x=0
We calculate fractions
10x/(2x^2+2x)+(-7x-7)/(2x^2+2x)=0
We multiply all the terms by the denominator
10x+(-7x-7)=0
We get rid of parentheses
10x-7x-7=0
We add all the numbers together, and all the variables
3x-7=0
We move all terms containing x to the left, all other terms to the right
3x=7
x=7/3
x=2+1/3

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