Solve x+20%x=1.56

$$x + 20 \% x = 1.56$$

Solve for x

$$x=1.3$$

Steps for Solving Linear Equation

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

$$x+\frac{1}{5}x=1.56$$

Combine x and \frac{1}{5}x to get \frac{6}{5}x.

$$\frac{6}{5}x=1.56$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$x=1.56\times \frac{5}{6}$$

Convert decimal number 1.56 to fraction \frac{156}{100}. Reduce the fraction \frac{156}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{39}{25}\times \frac{5}{6}$$

Multiply \frac{39}{25} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{39\times 5}{25\times 6}$$

Do the multiplications in the fraction \frac{39\times 5}{25\times 6}.

$$x=\frac{195}{150}$$

Reduce the fraction \frac{195}{150} to lowest terms by extracting and canceling out 15.

$$x=\frac{13}{10}$$