(50)(80-x)=(25)(x-25)

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Solution for (50)(80-x)=(25)(x-25) equation: 



(50)(80-x)=(25)(x-25)

We move all terms to the left:

(50)(80-x)-((25)(x-25))=0

We add all the numbers together, and all the variables

50(-1x+80)-(25(x-25))=0

We multiply parentheses

-50x-(25(x-25))+4000=0



We calculate terms in parentheses: -(25(x-25)), so:

25(x-25)

We multiply parentheses

25x-625

Back to the equation:

-(25x-625)



We get rid of parentheses

-50x-25x+625+4000=0

We add all the numbers together, and all the variables

-75x+4625=0

We move all terms containing x to the left, all other terms to the right

-75x=-4625

x=-4625/-75

x=61+2/3

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