Solve 80x-1800+100(x-14.5)=1800

$$80 x - 1800 + 100 ( x - 14.5 ) = 1800$$

Solve for x

$$x = \frac{505}{18} = 28\frac{1}{18} \approx 28.055555556$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100 by x-14.5.

$$80x-1800+100x-1450=1800$$

Combine 80x and 100x to get 180x.

$$180x-1800-1450=1800$$

Subtract 1450 from -1800 to get -3250.

$$180x-3250=1800$$

Add 3250 to both sides.

$$180x=1800+3250$$

Add 1800 and 3250 to get 5050.

$$180x=5050$$

Divide both sides by 180.

$$x=\frac{5050}{180}$$

Reduce the fraction \frac{5050}{180} to lowest terms by extracting and canceling out 10.

$$x=\frac{505}{18}$$