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14+3.8x-11.4=82
Use the distributive property to multiply 3.8 by x-3.
2.6+3.8x=82
Subtract 11.4 from 14 to get 2.6.
3.8x=82-2.6
Subtract 2.6 from both sides.
3.8x=79.4
Subtract 2.6 from 82 to get 79.4.
x=\frac{79.4}{3.8}
Divide both sides by 3.8.
x=\frac{794}{38}
Expand \frac{79.4}{3.8} by multiplying both numerator and the denominator by 10.
x=\frac{397}{19}
Reduce the fraction \frac{794}{38} to lowest terms by extracting and canceling out 2.