Solve 1.5x1000+2left(20-xright)1000=45000

$$1.5x1000+2 \left( 20-x \right) 1000 = 45000$$

Solve for x

$$x=\frac{3x_{1000}}{4000}-2.5$$

Steps for Solving Linear Equation

Multiply 2 and 1000 to get 2000.

$$1.5x_{1000}+2000\left(20-x\right)=45000$$

Use the distributive property to multiply 2000 by 20-x.

$$1.5x_{1000}[phone]x=45000$$

Subtract 1.5x_{1000} from both sides.

$$40000-2000x=45000-1.5x_{1000}$$

Subtract 40000 from both sides.

$$-2000x=45000-1.5x_{1000}-40000$$

Subtract 40000 from 45000 to get 5000.

$$-2000x=5000-1.5x_{1000}$$

The equation is in standard form.

$$-2000x=-\frac{3x_{1000}}{2}+5000$$

Divide both sides by -2000.

$$\frac{-2000x}{-2000}=\frac{-\frac{3x_{1000}}{2}+5000}{-2000}$$

Dividing by -2000 undoes the multiplication by -2000.

$$x=\frac{-\frac{3x_{1000}}{2}+5000}{-2000}$$

Divide 5000-\frac{3x_{1000}}{2} by -2000.

$$x=\frac{3x_{1000}}{4000}-\frac{5}{2}$$

Solve for x_1000

$$x_{1000}=\frac{4000x+10000}{3}$$

Steps for Solving Linear Equation

Multiply 2 and 1000 to get 2000.

$$1.5x_{1000}+2000\left(20-x\right)=45000$$

Use the distributive property to multiply 2000 by 20-x.

$$1.5x_{1000}[phone]x=45000$$

Subtract 40000 from both sides.

$$1.5x_{1000}-2000x=45000-40000$$

Subtract 40000 from 45000 to get 5000.

$$1.5x_{1000}-2000x=5000$$

Add 2000x to both sides.

$$1.5x_{1000}=5000+2000x$$

The equation is in standard form.

$$1.5x_{1000}=2000x+5000$$

Divide both sides of the equation by 1.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.5x_{1000}}{1.5}=\frac{2000x+5000}{1.5}$$

Dividing by 1.5 undoes the multiplication by 1.5.

$$x_{1000}=\frac{2000x+5000}{1.5}$$

Divide 5000+2000x by 1.5 by multiplying 5000+2000x by the reciprocal of 1.5.

$$x_{1000}=\frac{4000x+10000}{3}$$