(x+1)/(2x-5)=-3

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Solution for (x+1)/(2x-5)=-3 equation:



(x+1)/(2x-5)=-3
We move all terms to the left:
(x+1)/(2x-5)-(-3)=0
Domain of the equation: (2x-5)!=0
We move all terms containing x to the left, all other terms to the right
2x!=5
x!=5/2
x!=2+1/2
x∈R
We add all the numbers together, and all the variables
(x+1)/(2x-5)+3=0
We multiply all the terms by the denominator
(x+1)+3*(2x-5)=0
We multiply parentheses
(x+1)+6x-15=0
We get rid of parentheses
x+6x+1-15=0
We add all the numbers together, and all the variables
7x-14=0
We move all terms containing x to the left, all other terms to the right
7x=14
x=14/7
x=2

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