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

Question

Solve the equation

x = - \frac{1334660326}{2681360687005}

Alternative Form

x \approx - 0.000498

Evaluate

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

Subtract the terms

More Steps

- \frac{1}{2004} x - \frac{10013}{4010006} = x - \frac{4}{2001}

Multiply both sides of the equation by LCM

(- \frac{1}{2004} x - \frac{10013}{4010006}) \times 2680023350004 = (x - \frac{4}{2001}) \times 2680023350004

Calculate

More Steps

- 1337337001 x - 6692028342 = (x - \frac{4}{2001}) \times 2680023350004

Calculate

More Steps

- 1337337001 x - 6692028342 = 2680023350004 x - 5357368016

Move the expression to the left side

- 1337337001 x - 6692028342 - 2680023350004 x = - 5357368016

Move the expression to the right side

- 1337337001 x - 2680023350004 x = - 5357368016 + 6692028342

Add and subtract

More Steps

- 2681360687005 x = - 5357368016 + 6692028342

Add and subtract

- 2681360687005 x = 1334660326

Change the signs on both sides of the equation

2681360687005 x = - 1334660326

Divide both sides

\frac{2681360687005 x}{2681360687005} = \frac{- 1334660326}{2681360687005}

Divide the numbers

x = \frac{- 1334660326}{2681360687005}

Solution

x = - \frac{1334660326}{2681360687005}

Alternative Form

x \approx - 0.000498

Show Solution

2681360687005 x = - 1334660326

Show Solution