Solve x+120%x=7.7

$$x + 120 \% x = 7.7$$

Solve for x

$$x=3.5$$

Steps for Solving Linear Equation

Reduce the fraction \frac{120}{100} to lowest terms by extracting and canceling out 20.

$$x+\frac{6}{5}x=7.7$$

Combine x and \frac{6}{5}x to get \frac{11}{5}x.

$$\frac{11}{5}x=7.7$$

Multiply both sides by \frac{5}{11}, the reciprocal of \frac{11}{5}.

$$x=7.7\times \frac{5}{11}$$

Convert decimal number 7.7 to fraction \frac{77}{10}.

$$x=\frac{77}{10}\times \frac{5}{11}$$

Multiply \frac{77}{10} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{77\times 5}{10\times 11}$$

Do the multiplications in the fraction \frac{77\times 5}{10\times 11}.

$$x=\frac{385}{110}$$

Reduce the fraction \frac{385}{110} to lowest terms by extracting and canceling out 55.

$$x=\frac{7}{2}$$