Solve 800000+90000x-35000x/200000+10000x-15000x=100/5

$$\frac{ 800000+90000x-35000x }{ 200000+10000x-15000x } = \frac{ 100 }{ 5 }$$

Solve for x

$$x = \frac{640}{31} = 20\frac{20}{31} \approx 20.64516129$$

Steps for Solving Linear Equation

Variable x cannot be equal to 40 since division by zero is not defined. Multiply both sides of the equation by 5000\left(x-40\right), the least common multiple of 200000+10000x-15000x,5.

$$-\left(800000+90000x-35000x\right)=\left(1000x-40000\right)\times 100$$

Combine 90000x and -35000x to get 55000x.

$$-\left(800000+55000x\right)=\left(1000x-40000\right)\times 100$$

To find the opposite of 800000+55000x, find the opposite of each term.

$$-800000-55000x=\left(1000x-40000\right)\times 100$$

Use the distributive property to multiply 1000x-40000 by 100.

$$-800000-55000x=100000x-4000000$$

Subtract 100000x from both sides.

$$-800000-55000x-100000x=-4000000$$

Combine -55000x and -100000x to get -155000x.

$$-800000-155000x=-4000000$$

Add 800000 to both sides.

$$-155000x=-4000000+800000$$

Add -4000000 and 800000 to get -3200000.

$$-155000x=-3200000$$

Divide both sides by -155000.

$$x=\frac{-3200000}{-155000}$$

Reduce the fraction \frac{-3200000}{-155000} to lowest terms by extracting and canceling out -5000.

$$x=\frac{640}{31}$$