(X-7)/3=(x-1)/5

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Solution for (X-7)/3=(x-1)/5 equation: 



(X-7)/3=(X-1)/5

We move all terms to the left:

(X-7)/3-((X-1)/5)=0

We calculate fractions


X/()+(-((X-1)*3)/()=0



We calculate terms in parentheses: +(-((X-1)*3)/(), so:

-((X-1)*3)/(

We multiply all the terms by the denominator


-((X-1)*3)



We calculate terms in parentheses: -((X-1)*3), so:

(X-1)*3

We multiply parentheses

3X-3

Back to the equation:

-(3X-3)



We get rid of parentheses

-3X+3

Back to the equation:

+(-3X+3)



We get rid of parentheses

X/()-3X+3=0

We multiply all the terms by the denominator


X-3X*()+3*()=0

We add all the numbers together, and all the variables

X-3X*()=0

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