Solve x(1-0.85)/2500=(x-20000)(1-0.35)/25000

$$\frac { x ( 1 - 0.85 ) } { 2500 } = \frac { ( x - 20000 ) ( 1 - 0.35 ) } { 25000 }$$

Solve for x

$$x = -\frac{260000}{17} = -15294\frac{2}{17} \approx -15294.117647059$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 25000, the least common multiple of 2500,25000.

$$10x\left(1-0.85\right)=\left(x-20000\right)\left(1-0.35\right)$$

Subtract 0.85 from 1 to get 0.15.

$$10x\times 0.15=\left(x-20000\right)\left(1-0.35\right)$$

Multiply 10 and 0.15 to get 1.5.

$$1.5x=\left(x-20000\right)\left(1-0.35\right)$$

Subtract 0.35 from 1 to get 0.65.

$$1.5x=\left(x-20000\right)\times 0.65$$

Use the distributive property to multiply x-20000 by 0.65.

$$1.5x=0.65x-13000$$

Subtract 0.65x from both sides.

$$1.5x-0.65x=-13000$$

Combine 1.5x and -0.65x to get 0.85x.

$$0.85x=-13000$$

Divide both sides by 0.85.

$$x=\frac{-13000}{0.85}$$

Expand \frac{-13000}{0.85} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1300000}{85}$$

Reduce the fraction \frac{-1300000}{85} to lowest terms by extracting and canceling out 5.

$$x=-\frac{260000}{17}$$