Solve 1830=1.3(1300-x)/0.02

$$1830 = \frac { 1.3 ( 1300 - x ) } { 0.02 }$$

Solve for x

$$x = \frac{16534}{13} = 1271\frac{11}{13} \approx 1271.846153846$$

Steps for Solving Linear Equation

Multiply both sides by 0.02.

$$1830\times 0.02=1.3\left(1300-x\right)$$

Multiply 1830 and 0.02 to get 36.6.

$$36.6=1.3\left(1300-x\right)$$

Use the distributive property to multiply 1.3 by 1300-x.

$$36.6=1690-1.3x$$

Swap sides so that all variable terms are on the left hand side.

$$1690-1.3x=36.6$$

Subtract 1690 from both sides.

$$-1.3x=36.6-1690$$

Subtract 1690 from 36.6 to get -1653.4.

$$-1.3x=-1653.4$$

Divide both sides by -1.3.

$$x=\frac{-1653.4}{-1.3}$$

Expand \frac{-1653.4}{-1.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{-16534}{-13}$$

Fraction \frac{-16534}{-13} can be simplified to \frac{16534}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16534}{13}$$