Solve 4/5x-20%=16

$$\frac{ 4 }{ 5 } x-20 \% =16$$

Solve for x

$$x = \frac{81}{4} = 20\frac{1}{4} = 20.25$$

Steps for Solving Linear Equation

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

$$\frac{4}{5}x-\frac{1}{5}=16$$

Add \frac{1}{5} to both sides.

$$\frac{4}{5}x=16+\frac{1}{5}$$

Convert 16 to fraction \frac{80}{5}.

$$\frac{4}{5}x=\frac{80}{5}+\frac{1}{5}$$

Since \frac{80}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{4}{5}x=\frac{80+1}{5}$$

Add 80 and 1 to get 81.

$$\frac{4}{5}x=\frac{81}{5}$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=\frac{81}{5}\times \frac{5}{4}$$

Multiply \frac{81}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{81\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{81}{4}$$