Solve 4000=frac{x_{2}}{0.7}+311.11-x/0.9

$$4000 = \frac { x _ { 2 } } { 0.7 } + 311.11 - \frac { x } { 0.9 }$$

Solve for x_2

$$x_{2}=\frac{7x}{9}+2582.223$$

Steps for Solving Linear Equation

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

$$\frac{x_{2}}{0.7}+311.11-\frac{x}{0.9}=4000$$

Subtract 311.11 from both sides.

$$\frac{x_{2}}{0.7}-\frac{x}{0.9}=4000-311.11$$

Subtract 311.11 from 4000 to get 3688.89.

$$\frac{x_{2}}{0.7}-\frac{x}{0.9}=3688.89$$

Add \frac{x}{0.9} to both sides.

$$\frac{x_{2}}{0.7}=3688.89+\frac{x}{0.9}$$

The equation is in standard form.

$$\frac{10}{7}x_{2}=\frac{10x}{9}+3688.89$$

Divide both sides of the equation by \frac{10}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{10}{7}x_{2}}{\frac{10}{7}}=\frac{\frac{10x}{9}+\frac{368889}{100}}{\frac{10}{7}}$$

Dividing by \frac{10}{7} undoes the multiplication by \frac{10}{7}.

$$x_{2}=\frac{\frac{10x}{9}+\frac{368889}{100}}{\frac{10}{7}}$$

Divide \frac{368889}{100}+\frac{10x}{9} by \frac{10}{7} by multiplying \frac{368889}{100}+\frac{10x}{9} by the reciprocal of \frac{10}{7}.

$$x_{2}=\frac{7x}{9}+\frac{2582223}{1000}$$

Solve for x

$$x=\frac{9x_{2}}{7}-3320.001$$