Solve 0.075x+0.03(20,000-x)=1,185

$$0.075 x + 0.03 ( 20,000 - x ) = 1,185$$

Solve for x

$$x=13000$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.03 by 20000-x.

$$0.075x+600-0.03x=1185$$

Combine 0.075x and -0.03x to get 0.045x.

$$0.045x+600=1185$$

Subtract 600 from both sides.

$$0.045x=1185-600$$

Subtract 600 from 1185 to get 585.

$$0.045x=585$$

Divide both sides by 0.045.

$$x=\frac{585}{0.045}$$

Expand \frac{585}{0.045} by multiplying both numerator and the denominator by 1000.

$$x=\frac{585000}{45}$$

Divide 585000 by 45 to get 13000.

$$x=13000$$