100=(1,000+15a+5(100))-(750+8.5a+6(100))

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Solution for 100=(1,000+15a+5(100))-(750+8.5a+6(100)) equation: 



100=(1.000+15a+5(100))-(750+8.5a+6(100))

We move all terms to the left:

100-((1.000+15a+5(100))-(750+8.5a+6(100)))=0

We add all the numbers together, and all the variables

-((15a+5101)-(8.5a+6850))+100=0



We calculate terms in parentheses: -((15a+5101)-(8.5a+6850)), so:

(15a+5101)-(8.5a+6850)

We get rid of parentheses

15a-8.5a+5101-6850

We add all the numbers together, and all the variables

6.5a-1749

Back to the equation:

-(6.5a-1749)



We get rid of parentheses

-6.5a+1749+100=0

We add all the numbers together, and all the variables

-6.5a+1849=0

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

-6.5a=-1849

a=-1849/-6.5

a=284+1/2.1666666666667

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