(X+6)/4=(x-2)/5

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Solution for (X+6)/4=(x-2)/5 equation: 



(X+6)/4=(X-2)/5

We move all terms to the left:

(X+6)/4-((X-2)/5)=0

We calculate fractions


X/()+(-((X-2)*4)/()=0



We calculate terms in parentheses: +(-((X-2)*4)/(), so:

-((X-2)*4)/(

We multiply all the terms by the denominator


-((X-2)*4)



We calculate terms in parentheses: -((X-2)*4), so:

(X-2)*4

We multiply parentheses

4X-8

Back to the equation:

-(4X-8)



We get rid of parentheses

-4X+8

Back to the equation:

+(-4X+8)



We get rid of parentheses

X/()-4X+8=0

We multiply all the terms by the denominator


X-4X*()+8*()=0

We add all the numbers together, and all the variables

X-4X*()=0

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