(3x-5)/(3x+8)=1/2

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Solution for (3x-5)/(3x+8)=1/2 equation:



(3x-5)/(3x+8)=1/2
We move all terms to the left:
(3x-5)/(3x+8)-(1/2)=0
Domain of the equation: (3x+8)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-8
x!=-8/3
x!=-2+2/3
x∈R
We add all the numbers together, and all the variables
(3x-5)/(3x+8)-(+1/2)=0
We get rid of parentheses
(3x-5)/(3x+8)-1/2=0
We calculate fractions
(6x-10)/(6x+16)+(-1*(3x+8))/(6x+16)=0
We calculate terms in parentheses: +(-1*(3x+8))/(6x+16), so:
-1*(3x+8))/(6x+16
We multiply all the terms by the denominator
-1*(3x+8))+16*(6x
Back to the equation:
+(-1*(3x+8))+16*(6x)
Wy multiply elements
(6x-10)/(6x+16)+(-1*(3x+8))+96x=0
We multiply all the terms by the denominator
(6x-10)+((-1*(3x+8)))*(6x+16)+96x*(6x+16)=0
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We multiply parentheses
576x^2+(6x-10)+((-1*(3x+8)))*(6x+16)+1536x=0
We get rid of parentheses
576x^2+6x+((-1*(3x+8)))*(6x+16)+1536x-10=0
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We add all the numbers together, and all the variables
576x^2+1542x+((-1*(3x+8)))*(6x+16)-10=0
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms in parentheses: +((-1*(3x+8)))*(6x+16), so:
(-1*(3x+8)))*(6x+16
We calculate terms

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