Solve 1625*80%-x/x=9%

$$\frac { 1625 \times 80 \% - x } { x } = 9 \%$$

Solve for x

$$x = \frac{130000}{109} = 1192\frac{72}{109} \approx 1192.660550459$$

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 100x, the least common multiple of x,100.

$$100\left(1625\times \frac{80}{100}-x\right)=9x$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$100\left(1625\times \frac{4}{5}-x\right)=9x$$

Express 1625\times \frac{4}{5} as a single fraction.

$$100\left(\frac{1625\times 4}{5}-x\right)=9x$$

Multiply 1625 and 4 to get 6500.

$$100\left(\frac{6500}{5}-x\right)=9x$$

Divide 6500 by 5 to get 1300.

$$100\left(1300-x\right)=9x$$

Use the distributive property to multiply 100 by 1300-x.

$$130000-100x=9x$$

Subtract 9x from both sides.

$$130000-100x-9x=0$$

Combine -100x and -9x to get -109x.

$$130000-109x=0$$

Subtract 130000 from both sides. Anything subtracted from zero gives its negation.

$$-109x=-130000$$

Divide both sides by -109.

$$x=\frac{-130000}{-109}$$

Fraction \frac{-130000}{-109} can be simplified to \frac{130000}{109} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{130000}{109}$$