(X-4)/5=(x-2)/3

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



(X-4)/5=(X-2)/3

We move all terms to the left:

(X-4)/5-((X-2)/3)=0

We calculate fractions


X/()+(-((X-2)*5)/()=0



We calculate terms in parentheses: +(-((X-2)*5)/(), so:

-((X-2)*5)/(

We multiply all the terms by the denominator


-((X-2)*5)



We calculate terms in parentheses: -((X-2)*5), so:

(X-2)*5

We multiply parentheses

5X-10

Back to the equation:

-(5X-10)



We get rid of parentheses

-5X+10

Back to the equation:

+(-5X+10)



We get rid of parentheses

X/()-5X+10=0

We multiply all the terms by the denominator


X-5X*()+10*()=0

We add all the numbers together, and all the variables

X-5X*()=0

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