Solve 390(x-8)+485(x-8)=3300

$$390(x-8)+485(x-8)=3300$$

Solve for x

$$x = \frac{412}{35} = 11\frac{27}{35} \approx 11.771428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply 390 by x-8.

$$390x-3120+485\left(x-8\right)=3300$$

Use the distributive property to multiply 485 by x-8.

$$390x-3120+485x-3880=3300$$

Combine 390x and 485x to get 875x.

$$875x-3120-3880=3300$$

Subtract 3880 from -3120 to get -7000.

$$875x-7000=3300$$

Add 7000 to both sides.

$$875x=3300+7000$$

Add 3300 and 7000 to get 10300.

$$875x=10300$$

Divide both sides by 875.

$$x=\frac{10300}{875}$$

Reduce the fraction \frac{10300}{875} to lowest terms by extracting and canceling out 25.

$$x=\frac{412}{35}$$