Solve 40.08=40(100-x)+44(x)/100

$$40.08= \frac{ 40(100-x)+44(x) }{ 100 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides by 100.

$$40.08\times 100=40\left(100-x\right)+44x$$

Multiply 40.08 and 100 to get 4008.

$$4008=40\left(100-x\right)+44x$$

Use the distributive property to multiply 40 by 100-x.

$$4008=4000-40x+44x$$

Combine -40x and 44x to get 4x.

$$4008=4000+4x$$

Swap sides so that all variable terms are on the left hand side.

$$4000+4x=4008$$

Subtract 4000 from both sides.

$$4x=4008-4000$$

Subtract 4000 from 4008 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$