Solve 0.6*22*(x-500)+0.4*20*(x-300)=0

$$0.6 \times 22 \times (x-500)+0.4 \times 20 \times (x-300)=0$$

Solve for x

$$x = \frac{22500}{53} = 424\frac{28}{53} \approx 424.528301887$$

Steps for Solving Linear Equation

Multiply 0.6 and 22 to get 13.2.

$$13.2\left(x-500\right)+0.4\times 20\left(x-300\right)=0$$

Use the distributive property to multiply 13.2 by x-500.

$$13.2x-6600+0.4\times 20\left(x-300\right)=0$$

Multiply 0.4 and 20 to get 8.

$$13.2x-6600+8\left(x-300\right)=0$$

Use the distributive property to multiply 8 by x-300.

$$13.2x-6600+8x-2400=0$$

Combine 13.2x and 8x to get 21.2x.

$$21.2x-6600-2400=0$$

Subtract 2400 from -6600 to get -9000.

$$21.2x-9000=0$$

Add 9000 to both sides. Anything plus zero gives itself.

$$21.2x=9000$$

Divide both sides by 21.2.

$$x=\frac{9000}{21.2}$$

Expand \frac{9000}{21.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{90000}{212}$$

Reduce the fraction \frac{90000}{212} to lowest terms by extracting and canceling out 4.

$$x=\frac{22500}{53}$$