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2/3(6-9x)=-1/5(15x+10)
We move all terms to the left:
2/3(6-9x)-(-1/5(15x+10))=0
Domain of the equation: 3(6-9x)!=0
x∈R
Domain of the equation: 5(15x+10))!=0We add all the numbers together, and all the variables
x∈R
2/3(-9x+6)-(-1/5(15x+10))=0
We calculate fractions
(10x1/(3(-9x+6)*5(15x+10)))+(-(-3x0)/(3(-9x+6)*5(15x+10)))=0
We calculate terms in parentheses: +(10x1/(3(-9x+6)*5(15x+10))), so:
10x1/(3(-9x+6)*5(15x+10))
We multiply all the terms by the denominator
10x1
We add all the numbers together, and all the variables
10x
Back to the equation:
+(10x)
We calculate terms in parentheses: +(-(-3x0)/(3(-9x+6)*5(15x+10))), so:We add all the numbers together, and all the variables
-(-3x0)/(3(-9x+6)*5(15x+10))
We add all the numbers together, and all the variables
-(-3x)/(3(-9x+6)*5(15x+10))
We multiply all the terms by the denominator
-(-3x)
We get rid of parentheses
3x
Back to the equation:
+(3x)
13x=0
x=0/13
x=0
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