(x-2)/(5)=(10-x)/(8)

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Solution for (x-2)/(5)=(10-x)/(8) equation: 



(x-2)/(5)=(10-x)/(8)

We move all terms to the left:

(x-2)/(5)-((10-x)/(8))=0

We add all the numbers together, and all the variables

(x-2)/5-((-1x+10)/8)=0

We calculate fractions


x/()+(-((-1x+10)*5)/()=0



We calculate terms in parentheses: +(-((-1x+10)*5)/(), so:

-((-1x+10)*5)/(

We multiply all the terms by the denominator


-((-1x+10)*5)



We calculate terms in parentheses: -((-1x+10)*5), so:

(-1x+10)*5

We multiply parentheses

-5x+50

Back to the equation:

-(-5x+50)



We get rid of parentheses

5x-50

Back to the equation:

+(5x-50)



We get rid of parentheses

x/()+5x-50=0

We multiply all the terms by the denominator


x+5x*()-50*()=0

We add all the numbers together, and all the variables

x+5x*()=0

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