1/4(x-2)=1/5(2x+3)

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Solution for 1/4(x-2)=1/5(2x+3) equation:



1/4(x-2)=1/5(2x+3)
We move all terms to the left:
1/4(x-2)-(1/5(2x+3))=0
Domain of the equation: 4(x-2)!=0
x∈R
Domain of the equation: 5(2x+3))!=0
x∈R
We calculate fractions
(5x2/(4(x-2)*5(2x+3)))+(-4xx/(4(x-2)*5(2x+3)))=0
We calculate terms in parentheses: +(5x2/(4(x-2)*5(2x+3))), so:
5x2/(4(x-2)*5(2x+3))
We multiply all the terms by the denominator
5x2
We add all the numbers together, and all the variables
5x^2
Back to the equation:
+(5x^2)
We calculate terms in parentheses: +(-4xx/(4(x-2)*5(2x+3))), so:
-4xx/(4(x-2)*5(2x+3))
We multiply all the terms by the denominator
-4xx
Back to the equation:
+(-4xx)
We get rid of parentheses
5x^2-4xx=0

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