Solve x+80/100(20/100x)=6

$$x + 80 / 100 ( 20 / 100 x ) = 6$$

Solve for x

$$x = \frac{150}{29} = 5\frac{5}{29} \approx 5.172413793$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$x+\frac{4}{5}\times \frac{20}{100}x=6$$

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

$$x+\frac{4}{5}\times \frac{1}{5}x=6$$

Multiply \frac{4}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{4\times 1}{5\times 5}x=6$$

Do the multiplications in the fraction \frac{4\times 1}{5\times 5}.

$$x+\frac{4}{25}x=6$$

Combine x and \frac{4}{25}x to get \frac{29}{25}x.

$$\frac{29}{25}x=6$$

Multiply both sides by \frac{25}{29}, the reciprocal of \frac{29}{25}.

$$x=6\times \frac{25}{29}$$

Express 6\times \frac{25}{29} as a single fraction.

$$x=\frac{6\times 25}{29}$$

Multiply 6 and 25 to get 150.

$$x=\frac{150}{29}$$