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14x+150-10x=240
Use the distributive property to multiply 10 by 15-x.
4x+150=240
Combine 14x and -10x to get 4x.
4x=240-150
Subtract 150 from both sides.
4x=90
Subtract 150 from 240 to get 90.
x=\frac{90}{4}
Divide both sides by 4.
x=\frac{45}{2}
Reduce the fraction \frac{90}{4} to lowest terms by extracting and canceling out 2.