Solve 80x-1800+100left(x-13right)=1800

$$80x-1800+100 \left( x-13 \right) = 1800$$

Solve for x

$$x = \frac{245}{9} = 27\frac{2}{9} \approx 27.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100 by x-13.

$$80x-1800+100x-1300=1800$$

Combine 80x and 100x to get 180x.

$$180x-1800-1300=1800$$

Subtract 1300 from -1800 to get -3100.

$$180x-3100=1800$$

Add 3100 to both sides.

$$180x=1800+3100$$

Add 1800 and 3100 to get 4900.

$$180x=4900$$

Divide both sides by 180.

$$x=\frac{4900}{180}$$

Reduce the fraction \frac{4900}{180} to lowest terms by extracting and canceling out 20.

$$x=\frac{245}{9}$$