(x) / (1100 + x) *1 000 000 = 200
First divide both sides by 1 000 000:
(x) / (1100 + x) = 0.000 2
Multiply both sides by 1100 + x:
x = 0.0002(1100 + x)
x = 0.22 + 0.0002x
Subtract 0.0002x from both sides:
0.9998x = 0.22
Divide both sides by 0.9998:
x = 0.22 / 0.9998
This will become your answer. (It's a long decimal.)
$$\\\frac{x}{1100+x}*1000000=200\\\\
$Divide both sides by 1000000$\\\\
\frac{x}{1100+x}=200/1000000\\\\
\frac{x}{1100+x}=0.0002\\\\
$multiply both sides by 1100+x NOTE x cannot =-1100$\\\\
x=0.0002(1100+x)\\\\
x=0.22+0.0002x\\\\
$Multiply both sides by 10000$\\\\
10000x=2200+2x\\\\
9998x=2200\\\\
x=\frac{2200}{9998}\\\\
x=\frac{1100}{4999}\\$$