Solve 2160x=72000+(x-30)*1920+(x-60)*1680

$$2160x=72000+(x-30) \times 1920+(x-60) \times 1680$$

Solve for x

$$x=60$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-30 by 1920.

$$2160x=72000+1920x-57600+\left(x-60\right)\times 1680$$

Subtract 57600 from 72000 to get 14400.

$$2160x=14400+1920x+\left(x-60\right)\times 1680$$

Use the distributive property to multiply x-60 by 1680.

$$2160x=14400+1920x+1680x-100800$$

Combine 1920x and 1680x to get 3600x.

$$2160x=14400+3600x-100800$$

Subtract 100800 from 14400 to get -86400.

$$2160x=-86400+3600x$$

Subtract 3600x from both sides.

$$2160x-3600x=-86400$$

Combine 2160x and -3600x to get -1440x.

$$-1440x=-86400$$

Divide both sides by -1440.

$$x=\frac{-86400}{-1440}$$

Divide -86400 by -1440 to get 60.

$$x=60$$