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

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



(2x)/(x+3)-(2)/(x-2)=2
We move all terms to the left:
(2x)/(x+3)-(2)/(x-2)-(2)=0
Domain of the equation: (x+3)!=0
We move all terms containing x to the left, all other terms to the right
x!=-3
x∈R
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
We calculate fractions
(2x^2-4x)/((x+3)*(x-2))+(-2x-6)/((x+3)*(x-2))-2=0
We calculate terms in parentheses: +(2x^2-4x)/((x+3)*(x-2)), so:
2x^2-4x)/((x+3)*(x-2)
We multiply all the terms by the denominator
2x^2*((x+3)*(x-2)-4x)
Back to the equation:
+(2x^2*((x+3)*(x-2)-4x))
We calculate terms in parentheses: +(-2x-6)/((x+3)*(x-2)), so:
-2x-6)/((x+3)*(x-2)
We multiply all the terms by the denominator
-2x*((x+3)*(x-2)-6)
Back to the equation:
+(-2x*((x+3)*(x-2)-6))
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)
We calculate terms in parentheses: +(2x^2*((x+3)*(x-2)-4x)), so:
2x^2*((x+3)*(x-2)-4x)
We calculate terms in parentheses: +(-2x*((x+3)*(x-2)-6)), so:
-2x*((x+3)*(x-2)-6)

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