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

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



2/3(x+2)-1/2=3/4(x+2)
We move all terms to the left:
2/3(x+2)-1/2-(3/4(x+2))=0
Domain of the equation: 3(x+2)!=0
x∈R
Domain of the equation: 4(x+2))!=0
x∈R
We calculate fractions
(-12x^2x/(3(x+2)*4(x+2))*2)+(16xx/(3(x+2)*4(x+2))*2)+(-(3*3(x+2)*2)/(3(x+2)*4(x+2))*2)=0
We calculate terms in parentheses: +(-12x^2x/(3(x+2)*4(x+2))*2), so:
-12x^2x/(3(x+2)*4(x+2))*2
We multiply all the terms by the denominator
-12x^2x
Back to the equation:
+(-12x^2x)
We calculate terms in parentheses: +(16xx/(3(x+2)*4(x+2))*2), so:
16xx/(3(x+2)*4(x+2))*2
We multiply all the terms by the denominator
16xx
Back to the equation:
+(16xx)
We calculate terms in parentheses: +(-(3*3(x+2)*2)/(3(x+2)*4(x+2))*2), so:
-(3*3(x+2)*2)/(3(x+2)*4(x+2))*2
We multiply all the terms by the denominator
-(3*3(x+2)*2)
We calculate terms in parentheses: -(3*3(x+2)*2), so:
3*3(x+2)*2
Wy multiply elements
18x(x
Back to the equation:
-(18x(x)
Back to the equation:
+(-(18xx)
We get rid of parentheses
-12x^2x+16xx+(-18xx=0

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