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150=\left(100+150\right)x
Multiply 100 and 1.5 to get 150.
150=250x
Add 100 and 150 to get 250.
250x=150
Swap sides so that all variable terms are on the left hand side.
x=\frac{150}{250}
Divide both sides by 250.
x=\frac{3}{5}
Reduce the fraction \frac{150}{250} to lowest terms by extracting and canceling out 50.