5(x-9)/4=4(x+5)/5

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Solution for 5(x-9)/4=4(x+5)/5 equation: 



5(x-9)/4=4(x+5)/5

We move all terms to the left:

5(x-9)/4-(4(x+5)/5)=0

We calculate fractions


5x/()+(-(4(x+5)*4)/()=0



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

-(4(x+5)*4)/(

We multiply all the terms by the denominator


-(4(x+5)*4)



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

4(x+5)*4

We multiply parentheses

16x+80

Back to the equation:

-(16x+80)



We get rid of parentheses

-16x-80

Back to the equation:

+(-16x-80)



We get rid of parentheses

5x/()-16x-80=0

We multiply all the terms by the denominator


5x-16x*()-80*()=0

We add all the numbers together, and all the variables

5x-16x*()=0

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