(3-2x)/(2x+5)=-3/11

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Solution for (3-2x)/(2x+5)=-3/11 equation:



(3-2x)/(2x+5)=-3/11
We move all terms to the left:
(3-2x)/(2x+5)-(-3/11)=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
(-2x+3)/(2x+5)-(-3/11)=0
We get rid of parentheses
(-2x+3)/(2x+5)+3/11=0
We calculate fractions
(-22x+33)/(22x+55)+(6x+15)/(22x+55)=0
We multiply all the terms by the denominator
(-22x+33)+(6x+15)=0
We get rid of parentheses
-22x+6x+33+15=0
We add all the numbers together, and all the variables
-16x+48=0
We move all terms containing x to the left, all other terms to the right
-16x=-48
x=-48/-16
x=+3

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