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\left(1\times 100+5\right)\times \frac{x}{1}=1000
Multiply both sides of the equation by 100.
\left(100+5\right)\times \frac{x}{1}=1000
Multiply 1 and 100 to get 100.
105\times \frac{x}{1}=1000
Add 100 and 5 to get 105.
105x=1000
Anything divided by one gives itself.
x=\frac{1000}{105}
Divide both sides by 105.
x=\frac{200}{21}
Reduce the fraction \frac{1000}{105} to lowest terms by extracting and canceling out 5.