Solve 9.2F=5(F-32)

$$9.2 F = 5 ( F - 32 )$$

Solve for F

$$F = -\frac{800}{21} = -38\frac{2}{21} \approx -38.095238095$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by F-32.

$$9.2F=5F-160$$

Subtract 5F from both sides.

$$9.2F-5F=-160$$

Combine 9.2F and -5F to get 4.2F.

$$4.2F=-160$$

Divide both sides by 4.2.

$$F=\frac{-160}{4.2}$$

Expand \frac{-160}{4.2} by multiplying both numerator and the denominator by 10.

$$F=\frac{-1600}{42}$$

Reduce the fraction \frac{-1600}{42} to lowest terms by extracting and canceling out 2.

$$F=-\frac{800}{21}$$