Solve x-1/ 2004 x-2/ 2003=x-3/2002 x-4/2001

Question

Solve the equation

x = - \frac{1337336}{1336001}

Alternative Form

x \approx - 1.000999

Evaluate

x - \frac{1}{2004} x - \frac{2}{2003} = x - \frac{3}{2002} x - \frac{4}{2001}

Cancel equal terms on both sides of the expression

- \frac{1}{2004} x - \frac{2}{2003} = - \frac{3}{2002} x - \frac{4}{2001}

Multiply both sides of the equation by LCM

(- \frac{1}{2004} x - \frac{2}{2003}) \times 2680023350004 = (- \frac{3}{2002} x - \frac{4}{2001}) \times 2680023350004

Calculate

More Steps

- 1337337001 x - 2676009336 = (- \frac{3}{2002} x - \frac{4}{2001}) \times 2680023350004

Calculate

More Steps

- 1337337001 x - 2676009336 = - 4016019006 x - 5357368016

Move the expression to the left side

- 1337337001 x - 2676009336 + 4016019006 x = - 5357368016

Move the expression to the right side

- 1337337001 x + 4016019006 x = - 5357368016 + 2676009336

Add and subtract

More Steps

2678682005 x = - 5357368016 + 2676009336

Add and subtract

2678682005 x = - 2681358680

Divide both sides

\frac{2678682005 x}{2678682005} = \frac{- 2681358680}{2678682005}

Divide the numbers

x = \frac{- 2681358680}{2678682005}

Solution

More Steps

x = - \frac{1337336}{1336001}

Alternative Form

x \approx - 1.000999

Show Solution

1336001 x = - 1337336

Show Solution