Solve 40%*x+120=(9600-x)*40%-120

$$40 \% \times x+120=(9600-x) \times 40 \% -120$$

Solve for x

$$x=4500$$

Steps for Solving Linear Equation

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{2}{5}x+120=\left(9600-x\right)\times \frac{40}{100}-120$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{2}{5}x+120=\left(9600-x\right)\times \frac{2}{5}-120$$

Use the distributive property to multiply 9600-x by \frac{2}{5}.

$$\frac{2}{5}x+120=9600\times \frac{2}{5}-x\times \frac{2}{5}-120$$

Express 9600\times \frac{2}{5} as a single fraction.

$$\frac{2}{5}x+120=\frac{9600\times 2}{5}-x\times \frac{2}{5}-120$$

Multiply 9600 and 2 to get 19200.

$$\frac{2}{5}x+120=\frac{19200}{5}-x\times \frac{2}{5}-120$$

Divide 19200 by 5 to get 3840.

$$\frac{2}{5}x+120=3840-x\times \frac{2}{5}-120$$

Multiply -1 and \frac{2}{5} to get -\frac{2}{5}.

$$\frac{2}{5}x+120=3840-\frac{2}{5}x-120$$

Subtract 120 from 3840 to get 3720.

$$\frac{2}{5}x+120=3720-\frac{2}{5}x$$

Add \frac{2}{5}x to both sides.

$$\frac{2}{5}x+120+\frac{2}{5}x=3720$$

Combine \frac{2}{5}x and \frac{2}{5}x to get \frac{4}{5}x.

$$\frac{4}{5}x+120=3720$$

Subtract 120 from both sides.

$$\frac{4}{5}x=3720-120$$

Subtract 120 from 3720 to get 3600.

$$\frac{4}{5}x=3600$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=3600\times \frac{5}{4}$$

Express 3600\times \frac{5}{4} as a single fraction.

$$x=\frac{3600\times 5}{4}$$

Multiply 3600 and 5 to get 18000.

$$x=\frac{18000}{4}$$

Divide 18000 by 4 to get 4500.

$$x=4500$$