Solve 460=0.514x-37.54

$$460 = 0.514 x - 37.54$$

Solve for x

$$x = \frac{248770}{257} = 967\frac{251}{257} \approx 967.976653696$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$0.514x-37.54=460$$

Add 37.54 to both sides.

$$0.514x=460+37.54$$

Add 460 and 37.54 to get 497.54.

$$0.514x=497.54$$

Divide both sides by 0.514.

$$x=\frac{497.54}{0.514}$$

Expand \frac{497.54}{0.514} by multiplying both numerator and the denominator by 1000.

$$x=\frac{497540}{514}$$

Reduce the fraction \frac{497540}{514} to lowest terms by extracting and canceling out 2.

$$x=\frac{248770}{257}$$