Solve x=40%*3/4*x+570

$$x=40 \% \times \frac{ 3 }{ 4 } \times x+570$$

Solve for x

$$x = \frac{5700}{7} = 814\frac{2}{7} \approx 814.285714286$$

Steps for Solving Linear Equation

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

$$x=\frac{2}{5}\times \frac{3}{4}x+570$$

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 3}{5\times 4}x+570$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$x=\frac{6}{20}x+570$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{3}{10}x+570$$

Subtract \frac{3}{10}x from both sides.

$$x-\frac{3}{10}x=570$$

Combine x and -\frac{3}{10}x to get \frac{7}{10}x.

$$\frac{7}{10}x=570$$

Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.

$$x=570\times \frac{10}{7}$$

Express 570\times \frac{10}{7} as a single fraction.

$$x=\frac{570\times 10}{7}$$

Multiply 570 and 10 to get 5700.

$$x=\frac{5700}{7}$$