Solve xleft(1-0.35right)/50000=left(x-20000right)left(1-0.35right)/25000

$$\frac{ x \left( 1-0.35 \right) }{ 50000 } = \frac{ \left( x-20000 \right) \left( 1-0.35 \right) }{ 25000 }$$

Solve for x

$$x=40000$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 50000, the least common multiple of 50000,25000.

$$x\left(1-0.35\right)=2\left(x-20000\right)\left(1-0.35\right)$$

Subtract 0.35 from 1 to get 0.65.

$$x\times 0.65=2\left(x-20000\right)\left(1-0.35\right)$$

Subtract 0.35 from 1 to get 0.65.

$$x\times 0.65=2\left(x-20000\right)\times 0.65$$

Multiply 2 and 0.65 to get 1.3.

$$x\times 0.65=1.3\left(x-20000\right)$$

Use the distributive property to multiply 1.3 by x-20000.

$$x\times 0.65=1.3x-26000$$

Subtract 1.3x from both sides.

$$x\times 0.65-1.3x=-26000$$

Combine x\times 0.65 and -1.3x to get -0.65x.

$$-0.65x=-26000$$

Divide both sides by -0.65.

$$x=\frac{-26000}{-0.65}$$

Expand \frac{-26000}{-0.65} by multiplying both numerator and the denominator by 100.

$$x=\frac{-2600000}{-65}$$

Divide -2600000 by -65 to get 40000.

$$x=40000$$