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\frac{2}{5}\times \frac{3}{4}x+570=x
Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.
\frac{2\times 3}{5\times 4}x+570=x
Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{20}x+570=x
Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.
\frac{3}{10}x+570=x
Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.
\frac{3}{10}x+570-x=0
Subtract x from both sides.
-\frac{7}{10}x+570=0
Combine \frac{3}{10}x and -x to get -\frac{7}{10}x.
-\frac{7}{10}x=-570
Subtract 570 from both sides. Anything subtracted from zero gives its negation.
x=-570\left(-\frac{10}{7}\right)
Multiply both sides by -\frac{10}{7}, the reciprocal of -\frac{7}{10}.
x=\frac{-570\left(-10\right)}{7}
Express -570\left(-\frac{10}{7}\right) as a single fraction.
x=\frac{5700}{7}
Multiply -570 and -10 to get 5700.