100(10-x)=75(x-3)

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Solution for 100(10-x)=75(x-3) equation: 



100(10-x)=75(x-3)

We move all terms to the left:

100(10-x)-(75(x-3))=0

We add all the numbers together, and all the variables

100(-1x+10)-(75(x-3))=0

We multiply parentheses

-100x-(75(x-3))+1000=0



We calculate terms in parentheses: -(75(x-3)), so:

75(x-3)

We multiply parentheses

75x-225

Back to the equation:

-(75x-225)



We get rid of parentheses

-100x-75x+225+1000=0

We add all the numbers together, and all the variables

-175x+1225=0

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

-175x=-1225

x=-1225/-175

x=+7

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