3/4(x-2)+3/5=1/5(x-1)

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Solution for 3/4(x-2)+3/5=1/5(x-1) equation: 



3/4(x-2)+3/5=1/5(x-1)

We move all terms to the left:

3/4(x-2)+3/5-(1/5(x-1))=0



Domain of the equation: 4(x-2)!=0

x∈R





Domain of the equation: 5(x-1))!=0

x∈R



We calculate fractions


(75xx/(4(x-2)*5(x-1))*5)+(-4xx/(4(x-2)*5(x-1))*5)+(12xx/(4(x-2)*5(x-1))*5)=0



We calculate terms in parentheses: +(75xx/(4(x-2)*5(x-1))*5), so:

75xx/(4(x-2)*5(x-1))*5

We multiply all the terms by the denominator


75xx

Back to the equation:

+(75xx)





We calculate terms in parentheses: +(-4xx/(4(x-2)*5(x-1))*5), so:

-4xx/(4(x-2)*5(x-1))*5

We multiply all the terms by the denominator


-4xx

Back to the equation:

+(-4xx)





We calculate terms in parentheses: +(12xx/(4(x-2)*5(x-1))*5), so:

12xx/(4(x-2)*5(x-1))*5

We multiply all the terms by the denominator


12xx

Back to the equation:

+(12xx)



We get rid of parentheses

75xx-4xx+12xx=0

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