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1/3(10-2x)=1/3(8-2x)
We move all terms to the left:
1/3(10-2x)-(1/3(8-2x))=0
Domain of the equation: 3(10-2x)!=0
x∈R
Domain of the equation: 3(8-2x))!=0We add all the numbers together, and all the variables
x∈R
1/3(-2x+10)-(1/3(-2x+8))=0
We calculate fractions
(3x(-)/(3(-2x+10)*3(-2x+8)))+(-3x0/(3(-2x+10)*3(-2x+8)))=0
We calculate terms in parentheses: +(3x(-)/(3(-2x+10)*3(-2x+8))), so:
3x(-)/(3(-2x+10)*3(-2x+8))
We add all the numbers together, and all the variables
3x0/(3(-2x+10)*3(-2x+8))
We multiply all the terms by the denominator
3x0
We add all the numbers together, and all the variables
3x
Back to the equation:
+(3x)
We calculate terms in parentheses: +(-3x0/(3(-2x+10)*3(-2x+8))), so:We get rid of parentheses
-3x0/(3(-2x+10)*3(-2x+8))
We multiply all the terms by the denominator
-3x0
We add all the numbers together, and all the variables
-3x
Back to the equation:
+(-3x)
3x-3x=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
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