Solve (x+40%)*90%-x=390

$$( x + 40 \% ) \times 90 \% - x = 390$$

Solve for x

$$x = -\frac{19482}{5} = -3896\frac{2}{5} = -3896.4$$

Steps for Solving Linear Equation

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

$$\left(x+\frac{2}{5}\right)\times \frac{90}{100}-x=390$$

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$\left(x+\frac{2}{5}\right)\times \frac{9}{10}-x=390$$

Use the distributive property to multiply x+\frac{2}{5} by \frac{9}{10}.

$$x\times \frac{9}{10}+\frac{2}{5}\times \frac{9}{10}-x=390$$

Multiply \frac{2}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{9}{10}+\frac{2\times 9}{5\times 10}-x=390$$

Do the multiplications in the fraction \frac{2\times 9}{5\times 10}.

$$x\times \frac{9}{10}+\frac{18}{50}-x=390$$

Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.

$$x\times \frac{9}{10}+\frac{9}{25}-x=390$$

Combine x\times \frac{9}{10} and -x to get -\frac{1}{10}x.

$$-\frac{1}{10}x+\frac{9}{25}=390$$

Subtract \frac{9}{25} from both sides.

$$-\frac{1}{10}x=390-\frac{9}{25}$$

Convert 390 to fraction \frac{9750}{25}.

$$-\frac{1}{10}x=\frac{9750}{25}-\frac{9}{25}$$

Since \frac{9750}{25} and \frac{9}{25} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{10}x=\frac{9750-9}{25}$$

Subtract 9 from 9750 to get 9741.

$$-\frac{1}{10}x=\frac{9741}{25}$$

Multiply both sides by -10, the reciprocal of -\frac{1}{10}.

$$x=\frac{9741}{25}\left(-10\right)$$

Express \frac{9741}{25}\left(-10\right) as a single fraction.

$$x=\frac{9741\left(-10\right)}{25}$$

Multiply 9741 and -10 to get -97410.

$$x=\frac{-97410}{25}$$

Reduce the fraction \frac{-97410}{25} to lowest terms by extracting and canceling out 5.

$$x=-\frac{19482}{5}$$