(x+1)/(2x-3)=4

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Solution for (x+1)/(2x-3)=4 equation:



(x+1)/(2x-3)=4
We move all terms to the left:
(x+1)/(2x-3)-(4)=0
Domain of the equation: (2x-3)!=0
We move all terms containing x to the left, all other terms to the right
2x!=3
x!=3/2
x!=1+1/2
x∈R
We multiply all the terms by the denominator
(x+1)-4*(2x-3)=0
We multiply parentheses
(x+1)-8x+12=0
We get rid of parentheses
x-8x+1+12=0
We add all the numbers together, and all the variables
-7x+13=0
We move all terms containing x to the left, all other terms to the right
-7x=-13
x=-13/-7
x=1+6/7

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