Solve x-1/2022 x-5/2018=x-2011/12 x-10/2013

Question

Solve the equation

x = - \frac{674}{45361613}

Alternative Form

x \approx - 1.485838 \times 1 0^{- 5}

Evaluate

x - \frac{1}{2022} x - \frac{5}{2018} = x - \frac{2011}{12} x - \frac{10}{2013}

Cancel equal terms on both sides of the expression

- \frac{1}{2022} x - \frac{5}{2018} = - \frac{2011}{12} x - \frac{10}{2013}

Multiply both sides of the equation by LCM

(- \frac{1}{2022} x - \frac{5}{2018}) \times 2737945716 = (- \frac{2011}{12} x - \frac{10}{2013}) \times 2737945716

Calculate

More Steps

- 1354078 x - 6783810 = (- \frac{2011}{12} x - \frac{10}{2013}) \times 2737945716

Calculate

More Steps

- 1354078 x - 6783810 = - 458834069573 x - 13601320

Move the expression to the left side

- 1354078 x - 6783810 + 458834069573 x = - 13601320

Move the expression to the right side

- 1354078 x + 458834069573 x = - 13601320 + 6783810

Add and subtract

More Steps

458832715495 x = - 13601320 + 6783810

Add and subtract

458832715495 x = - 6817510

Divide both sides

\frac{458832715495 x}{458832715495} = \frac{- 6817510}{458832715495}

Divide the numbers

x = \frac{- 6817510}{458832715495}

Solution

More Steps

x = - \frac{674}{45361613}

Alternative Form

x \approx - 1.485838 \times 1 0^{- 5}

Show Solution

45361613 x = - 674

Show Solution