Solve 500+.03x=200+.10x

$$500 + .03 x = 200 + .10 x$$

Solve for x

$$x = \frac{30000}{7} = 4285\frac{5}{7} \approx 4285.714285714$$

Steps for Solving Linear Equation

Subtract 0.1x from both sides.

$$500+0.03x-0.1x=200$$

Combine 0.03x and -0.1x to get -0.07x.

$$500-0.07x=200$$

Subtract 500 from both sides.

$$-0.07x=200-500$$

Subtract 500 from 200 to get -300.

$$-0.07x=-300$$

Divide both sides by -0.07.

$$x=\frac{-300}{-0.07}$$

Expand \frac{-300}{-0.07} by multiplying both numerator and the denominator by 100.

$$x=\frac{-30000}{-7}$$

Fraction \frac{-30000}{-7} can be simplified to \frac{30000}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{30000}{7}$$