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1000(1000-x)/10=2000-1x
We move all terms to the left:
1000(1000-x)/10-(2000-1x)=0
We add all the numbers together, and all the variables
1000(-1x+1000)/10-(-1x+2000)=0
We get rid of parentheses
1000(-1x+1000)/10+1x-2000=0
We multiply all the terms by the denominator
1000(-1x+1000)+1x*10-2000*10=0
We add all the numbers together, and all the variables
1000(-1x+1000)+1x*10-20000=0
We multiply parentheses
-1000x+1x*10+1000000-20000=0
Wy multiply elements
-1000x+10x+1000000-20000=0
We add all the numbers together, and all the variables
-990x+980000=0
We move all terms containing x to the left, all other terms to the right
-990x=-980000
x=-980000/-990
x=989+89/99
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