Solve (1+40%)x*80%=120

$$( 1 + 40 \% ) x \times 80 \% = 120$$

Solve for x

$$x = \frac{750}{7} = 107\frac{1}{7} \approx 107.142857143$$

Steps for Solving Linear Equation

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

$$\left(1+\frac{2}{5}\right)x\times \frac{80}{100}=120$$

Convert 1 to fraction \frac{5}{5}.

$$\left(\frac{5}{5}+\frac{2}{5}\right)x\times \frac{80}{100}=120$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{5}x\times \frac{80}{100}=120$$

Add 5 and 2 to get 7.

$$\frac{7}{5}x\times \frac{80}{100}=120$$

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

$$\frac{7}{5}x\times \frac{4}{5}=120$$

Multiply \frac{7}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{5\times 5}x=120$$

Do the multiplications in the fraction \frac{7\times 4}{5\times 5}.

$$\frac{28}{25}x=120$$

Multiply both sides by \frac{25}{28}, the reciprocal of \frac{28}{25}.

$$x=120\times \frac{25}{28}$$

Express 120\times \frac{25}{28} as a single fraction.

$$x=\frac{120\times 25}{28}$$

Multiply 120 and 25 to get 3000.

$$x=\frac{3000}{28}$$

Reduce the fraction \frac{3000}{28} to lowest terms by extracting and canceling out 4.

$$x=\frac{750}{7}$$