( x \cdot 6.21 \% \cdot 6 ) + x = 1.8
Solve for x
x = \frac{9000}{6863} = 1\frac{2137}{6863} \approx 1.311379863
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x\times \frac{621}{10000}\times 6+x=1.8
Expand \frac{6.21}{100} by multiplying both numerator and the denominator by 100.
x\times \frac{621\times 6}{10000}+x=1.8
Express \frac{621}{10000}\times 6 as a single fraction.
x\times \frac{3726}{10000}+x=1.8
Multiply 621 and 6 to get 3726.
x\times \frac{1863}{5000}+x=1.8
Reduce the fraction \frac{3726}{10000} to lowest terms by extracting and canceling out 2.
\frac{6863}{5000}x=1.8
Combine x\times \frac{1863}{5000} and x to get \frac{6863}{5000}x.
x=1.8\times \frac{5000}{6863}
Multiply both sides by \frac{5000}{6863}, the reciprocal of \frac{6863}{5000}.
x=\frac{9}{5}\times \frac{5000}{6863}
Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.
x=\frac{9\times 5000}{5\times 6863}
Multiply \frac{9}{5} times \frac{5000}{6863} by multiplying numerator times numerator and denominator times denominator.
x=\frac{45000}{34315}
Do the multiplications in the fraction \frac{9\times 5000}{5\times 6863}.
x=\frac{9000}{6863}
Reduce the fraction \frac{45000}{34315} to lowest terms by extracting and canceling out 5.
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