Solve x-1/2015 x-3/2013=x-5/2011 x-7/2009

Question

Solve the equation

x = - \frac{4052165}{4044117}

Alternative Form

x \approx - 1.00199

Evaluate

x - \frac{1}{2015} x - \frac{3}{2013} = x - \frac{5}{2011} x - \frac{7}{2009}

Cancel equal terms on both sides of the expression

- \frac{1}{2015} x - \frac{3}{2013} = - \frac{5}{2011} x - \frac{7}{2009}

Cancel out the common factor 3

- \frac{1}{2015} x - \frac{1}{671} = - \frac{5}{2011} x - \frac{7}{2009}

Cancel out the common factor 7

- \frac{1}{2015} x - \frac{1}{671} = - \frac{5}{2011} x - \frac{1}{287}

Multiply both sides of the equation by LCM

(- \frac{1}{2015} x - \frac{1}{671}) \times 780353779205 = (- \frac{5}{2011} x - \frac{1}{287}) \times 780353779205

Calculate

More Steps

- 387272347 x - 1162971355 = (- \frac{5}{2011} x - \frac{1}{287}) \times 780353779205

Calculate

More Steps

- 387272347 x - 1162971355 = - 1940213275 x - 2719002715

Move the expression to the left side

- 387272347 x - 1162971355 + 1940213275 x = - 2719002715

Move the expression to the right side

- 387272347 x + 1940213275 x = - 2719002715 + 1162971355

Add and subtract

More Steps

1552940928 x = - 2719002715 + 1162971355

Add and subtract

1552940928 x = - 1556031360

Divide both sides

\frac{1552940928 x}{1552940928} = \frac{- 1556031360}{1552940928}

Divide the numbers

x = \frac{- 1556031360}{1552940928}

Solution

More Steps

x = - \frac{4052165}{4044117}

Alternative Form

x \approx - 1.00199

Show Solution

4044117 x = - 4052165

Show Solution