Solve x*(1+2.55%)-17903.88*0.1329=47721

$$x \times ( 1 + 2.55 \% ) - 17903.88 \times 0.1329 = 47721$$

Solve for x

$$x = \frac{12525106413}{256375} = 48854\frac{162163}{256375} \approx 48854.632522672$$

Steps for Solving Linear Equation

Expand \frac{2.55}{100} by multiplying both numerator and the denominator by 100.

$$x\left(1+\frac{255}{10000}\right)-17903.88\times 0.1329=47721$$

Reduce the fraction \frac{255}{10000} to lowest terms by extracting and canceling out 5.

$$x\left(1+\frac{51}{2000}\right)-17903.88\times 0.1329=47721$$

Convert 1 to fraction \frac{2000}{2000}.

$$x\left(\frac{2000}{2000}+\frac{51}{2000}\right)-17903.88\times 0.1329=47721$$

Since \frac{2000}{2000} and \frac{51}{2000} have the same denominator, add them by adding their numerators.

$$x\times \frac{2000+51}{2000}-17903.88\times 0.1329=47721$$

Add 2000 and 51 to get 2051.

$$x\times \frac{2051}{2000}-17903.88\times 0.1329=47721$$

Multiply 17903.88 and 0.1329 to get 2379.425652.

$$x\times \frac{2051}{2000}-2379.425652=47721$$

Add 2379.425652 to both sides.

$$x\times \frac{2051}{2000}=47721+2379.425652$$

Add 47721 and 2379.425652 to get 50100.425652.

$$x\times \frac{2051}{2000}=50100.425652$$

Multiply both sides by \frac{2000}{2051}, the reciprocal of \frac{2051}{2000}.

$$x=50100.425652\times \frac{2000}{2051}$$

Convert decimal number 50100.425652 to fraction \frac{50100425652}{1000000}. Reduce the fraction \frac{50100425652}{1000000} to lowest terms by extracting and canceling out 4.

$$x=\frac{12525106413}{250000}\times \frac{2000}{2051}$$

Multiply \frac{12525106413}{250000} times \frac{2000}{2051} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12525106413\times 2000}{250000\times 2051}$$

Do the multiplications in the fraction \frac{12525106413\times 2000}{250000\times 2051}.

$$x=\frac{25050212826000}{512750000}$$

Reduce the fraction \frac{25050212826000}{512750000} to lowest terms by extracting and canceling out 2000.

$$x=\frac{12525106413}{256375}$$