Solve 600*(5-x)=900+120-24x

$$600 \times (5-x)=900+120-24x$$

Solve for x

$$x = \frac{55}{16} = 3\frac{7}{16} = 3.4375$$

Steps for Solving Linear Equation

Use the distributive property to multiply 600 by 5-x.

$$3000-600x=900+120-24x$$

Add 900 and 120 to get 1020.

$$3000-600x=1020-24x$$

Add 24x to both sides.

$$3000-600x+24x=1020$$

Combine -600x and 24x to get -576x.

$$3000-576x=1020$$

Subtract 3000 from both sides.

$$-576x=1020-3000$$

Subtract 3000 from 1020 to get -1980.

$$-576x=-1980$$

Divide both sides by -576.

$$x=\frac{-1980}{-576}$$

Reduce the fraction \frac{-1980}{-576} to lowest terms by extracting and canceling out -36.

$$x=\frac{55}{16}$$