(10x-7)/15x=(2x+3)/3x

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Solution for (10x-7)/15x=(2x+3)/3x equation:



(10x-7)/15x=(2x+3)/3x
We move all terms to the left:
(10x-7)/15x-((2x+3)/3x)=0
Domain of the equation: 15x!=0
x!=0/15
x!=0
x∈R
Domain of the equation: 3x)!=0
x!=0/1
x!=0
x∈R
We calculate fractions
(10x-7)*3x)/45x^2+(-((2x+3)*15x)/45x^2=0
We calculate fractions
((10x-7)*3x)*45x^2)/(45x^2+(*45x^2)+(-((2x+3)*15x)*45x^2)/(45x^2+(*45x^2)=0
We calculate terms in parentheses: +(-((2x+3)*15x)*45x^2)/(45x^2+(*45x^2), so:
-((2x+3)*15x)*45x^2)/(45x^2+(*45x^2
We multiply all the terms by the denominator
-((2x+3)*15x)*45x^2)+((*45x^2)*(45x^2
Back to the equation:
+(-((2x+3)*15x)*45x^2)+((*45x^2)*(45x^2)
We get rid of parentheses
((10x-7)*3x)*45x^2)/(45x^2+*45x^2+(-((2x+3)*15x)*45x^2)+((*45x^2)*45x^2=0
We multiply all the terms by the denominator
((10x-7)*3x)*45x^2)+(*45x^2)*(45x^2+((-((2x+3)*15x)*45x^2))*(45x^2+(((*45x^2)*45x^2)*(45x^2=0

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