Solve x/0.8x2=400-x/0.024

$$\frac{ x }{ 0.8 } x2 = \frac{ 400-x }{ 0.02 } 4$$

Solve for x_2

$$x_{2}=-160+\frac{64000}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Divide each term of 400-x by 0.02 to get \frac{400}{0.02}+\frac{-x}{0.02}.

$$\frac{x}{0.8}x_{2}=\left(\frac{400}{0.02}+\frac{-x}{0.02}\right)\times 4$$

Expand \frac{400}{0.02} by multiplying both numerator and the denominator by 100.

$$\frac{x}{0.8}x_{2}=\left(\frac{40000}{2}+\frac{-x}{0.02}\right)\times 4$$

Divide 40000 by 2 to get 20000.

$$\frac{x}{0.8}x_{2}=\left(20000+\frac{-x}{0.02}\right)\times 4$$

Divide -x by 0.02 to get -50x.

$$\frac{x}{0.8}x_{2}=\left(20000-50x\right)\times 4$$

Use the distributive property to multiply 20000-50x by 4.

$$\frac{x}{0.8}x_{2}=80000-200x$$

The equation is in standard form.

$$\frac{5x}{4}x_{2}=80000-200x$$

Divide both sides by \frac{5}{4}x.

$$\frac{4\times \frac{5x}{4}x_{2}}{5x}=\frac{4\left(80000-200x\right)}{5x}$$

Dividing by \frac{5}{4}x undoes the multiplication by \frac{5}{4}x.

$$x_{2}=\frac{4\left(80000-200x\right)}{5x}$$

Divide 80000-200x by \frac{5}{4}x.

$$x_{2}=-160+\frac{64000}{x}$$

Solve for x

$$x=\frac{64000}{x_{2}+160}$$

$$x_{2}\neq -160$$