1/2(4-4x)=2/5(5-10x)

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Solution for 1/2(4-4x)=2/5(5-10x) equation:



1/2(4-4x)=2/5(5-10x)
We move all terms to the left:
1/2(4-4x)-(2/5(5-10x))=0
Domain of the equation: 2(4-4x)!=0
x∈R
Domain of the equation: 5(5-10x))!=0
x∈R
We add all the numbers together, and all the variables
1/2(-4x+4)-(2/5(-10x+5))=0
We calculate fractions
(5x(-)/(2(-4x+4)*5(-10x+5)))+(-4x0/(2(-4x+4)*5(-10x+5)))=0
We calculate terms in parentheses: +(5x(-)/(2(-4x+4)*5(-10x+5))), so:
5x(-)/(2(-4x+4)*5(-10x+5))
We add all the numbers together, and all the variables
5x0/(2(-4x+4)*5(-10x+5))
We multiply all the terms by the denominator
5x0
We add all the numbers together, and all the variables
5x
Back to the equation:
+(5x)
We calculate terms in parentheses: +(-4x0/(2(-4x+4)*5(-10x+5))), so:
-4x0/(2(-4x+4)*5(-10x+5))
We multiply all the terms by the denominator
-4x0
We add all the numbers together, and all the variables
-4x
Back to the equation:
+(-4x)
We get rid of parentheses
5x-4x=0
We add all the numbers together, and all the variables
x=0

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