(4k+5)/5=(4-k)/4

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Solution for (4k+5)/5=(4-k)/4 equation: 



(4k+5)/5=(4-k)/4

We move all terms to the left:

(4k+5)/5-((4-k)/4)=0

We add all the numbers together, and all the variables

(4k+5)/5-((-1k+4)/4)=0

We calculate fractions


4k/()+(-((-1k+4)*5)/()=0



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

-((-1k+4)*5)/(

We multiply all the terms by the denominator


-((-1k+4)*5)



We calculate terms in parentheses: -((-1k+4)*5), so:

(-1k+4)*5

We multiply parentheses

-5k+20

Back to the equation:

-(-5k+20)



We get rid of parentheses

5k-20

Back to the equation:

+(5k-20)



We get rid of parentheses

4k/()+5k-20=0

We multiply all the terms by the denominator


4k+5k*()-20*()=0

We add all the numbers together, and all the variables

4k+5k*()=0

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