3(x-100)+5x-20=3x-509(x-30)

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Solution for 3(x-100)+5x-20=3x-509(x-30) equation: 



3(x-100)+5x-20=3x-509(x-30)

We move all terms to the left:

3(x-100)+5x-20-(3x-509(x-30))=0

We add all the numbers together, and all the variables

5x+3(x-100)-(3x-509(x-30))-20=0

We multiply parentheses

5x+3x-(3x-509(x-30))-300-20=0



We calculate terms in parentheses: -(3x-509(x-30)), so:

3x-509(x-30)

We multiply parentheses

3x-509x+15270

We add all the numbers together, and all the variables

-506x+15270

Back to the equation:

-(-506x+15270)



We add all the numbers together, and all the variables

8x-(-506x+15270)-320=0

We get rid of parentheses

8x+506x-15270-320=0

We add all the numbers together, and all the variables

514x-15590=0

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

514x=15590

x=15590/514

x=30+85/257

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