Solve .04x+.07(5000-x)=300=

$$.04x+.07(5000-x)=300=$$

Solve for x

$$x = \frac{5000}{3} = 1666\frac{2}{3} \approx 1666.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.07 by 5000-x.

$$0.04x+350-0.07x=300$$

Combine 0.04x and -0.07x to get -0.03x.

$$-0.03x+350=300$$

Subtract 350 from both sides.

$$-0.03x=300-350$$

Subtract 350 from 300 to get -50.

$$-0.03x=-50$$

Divide both sides by -0.03.

$$x=\frac{-50}{-0.03}$$

Expand \frac{-50}{-0.03} by multiplying both numerator and the denominator by 100.

$$x=\frac{-5000}{-3}$$

Fraction \frac{-5000}{-3} can be simplified to \frac{5000}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5000}{3}$$