Solve 1830=0.15(127111/13-30)/x

$$1830 = \frac { 0.15 ( 1271 \frac { 11 } { 13 } - 30 ) } { x }$$

Solve for x

$$x=\frac{2018}{19825}\approx 0.101790668$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$1830x=0.15\left(\frac{1271\times 13+11}{13}-30\right)$$

Multiply 1271 and 13 to get 16523.

$$1830x=0.15\left(\frac{16523+11}{13}-30\right)$$

Add 16523 and 11 to get 16534.

$$1830x=0.15\left(\frac{16534}{13}-30\right)$$

Convert 30 to fraction \frac{390}{13}.

$$1830x=0.15\left(\frac{16534}{13}-\frac{390}{13}\right)$$

Since \frac{16534}{13} and \frac{390}{13} have the same denominator, subtract them by subtracting their numerators.

$$1830x=0.15\times \frac{16534-390}{13}$$

Subtract 390 from 16534 to get 16144.

$$1830x=0.15\times \frac{16144}{13}$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$1830x=\frac{3}{20}\times \frac{16144}{13}$$

Multiply \frac{3}{20} times \frac{16144}{13} by multiplying numerator times numerator and denominator times denominator.

$$1830x=\frac{3\times 16144}{20\times 13}$$

Do the multiplications in the fraction \frac{3\times 16144}{20\times 13}.

$$1830x=\frac{48432}{260}$$

Reduce the fraction \frac{48432}{260} to lowest terms by extracting and canceling out 4.

$$1830x=\frac{12108}{65}$$

Divide both sides by 1830.

$$x=\frac{\frac{12108}{65}}{1830}$$

Express \frac{\frac{12108}{65}}{1830} as a single fraction.

$$x=\frac{12108}{65\times 1830}$$

Multiply 65 and 1830 to get 118950.

$$x=\frac{12108}{118950}$$

Reduce the fraction \frac{12108}{118950} to lowest terms by extracting and canceling out 6.

$$x=\frac{2018}{19825}$$