Solve 0.46=0.514x-37.54

$$0.46 = 0.514 x - 37.54$$

Solve for x

$$x = \frac{19000}{257} = 73\frac{239}{257} \approx 73.929961089$$

Steps for Solving Linear Equation

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

$$0.514x-37.54=0.46$$

Add 37.54 to both sides.

$$0.514x=0.46+37.54$$

Add 0.46 and 37.54 to get 38.

$$0.514x=38$$

Divide both sides by 0.514.

$$x=\frac{38}{0.514}$$

Expand \frac{38}{0.514} by multiplying both numerator and the denominator by 1000.

$$x=\frac{38000}{514}$$

Reduce the fraction \frac{38000}{514} to lowest terms by extracting and canceling out 2.

$$x=\frac{19000}{257}$$