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1/2x.-7=1/3(x-12)
We move all terms to the left:
1/2x.-7-(1/3(x-12))=0
Domain of the equation: 2x.!=0
x!=0/1
x!=0
x∈R
Domain of the equation: 3(x-12))!=0We calculate fractions
x∈R
(3xx/(2x.*3(x-12)))+(-(1*2x.)/(2x.*3(x-12)))-7=0
We calculate terms in parentheses: +(3xx/(2x.*3(x-12))), so:
3xx/(2x.*3(x-12))
We multiply all the terms by the denominator
3xx
Back to the equation:
+(3xx)
We calculate terms in parentheses: +(-(1*2x.)/(2x.*3(x-12))), so:We get rid of parentheses
-(1*2x.)/(2x.*3(x-12))
We add all the numbers together, and all the variables
-(+1*2x.)/(2x.*3(x-12))
We multiply all the terms by the denominator
-(+1*2x.)
We get rid of parentheses
-1*2x.
Wy multiply elements
-2x
Back to the equation:
+(-2x)
3xx-2x-7=0
We add all the numbers together, and all the variables
-2x+3xx-7=0
We move all terms containing x to the left, all other terms to the right
-2x+3xx=7
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