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

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



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

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