Solve x-4/2017+x-3/2018-x-2/2019-x-1/2020=0

$$\frac { x - 4 } { 2017 } + \frac { x - 3 } { 2018 } - \frac { x - 2 } { 2019 } - \frac { x - 1 } { 2020 } = 0$$

Solve for x

$$x=2021$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8300127292140, the least common multiple of 2017,2018,2019,2020.

$$4115085420\left(x-4\right)[phone]\left(x-3\right)-4111009060\left(x-2\right)-4108973907\left(x-1\right)=0$$

Use the distributive property to multiply 4115085420 by x-4.

$$4115085420x-16460341680+4113046230\left(x-3\right)-4111009060\left(x-2\right)-4108973907\left(x-1\right)=0$$

Use the distributive property to multiply 4113046230 by x-3.

$$4115085420x-16460341680+4113046230x-12339138690-4111009060\left(x-2\right)-4108973907\left(x-1\right)=0$$

Combine 4115085420x and 4113046230x to get 8228131650x.

$$8228131650x-16460341680-12339138690-4111009060\left(x-2\right)-4108973907\left(x-1\right)=0$$

Subtract 12339138690 from -16460341680 to get -28799480370.

$$8228131650x-28799480370-4111009060\left(x-2\right)-4108973907\left(x-1\right)=0$$

Use the distributive property to multiply -4111009060 by x-2.

$$8228131650x-28799480370-4111009060x+8222018120-4108973907\left(x-1\right)=0$$

Combine 8228131650x and -4111009060x to get 4117122590x.

$$4117122590x-28799480370+8222018120-4108973907\left(x-1\right)=0$$

Add -28799480370 and 8222018120 to get -20577462250.

$$4117122590x-20577462250-4108973907\left(x-1\right)=0$$

Use the distributive property to multiply -4108973907 by x-1.

$$4117122590x-20577462250-4108973907x+4108973907=0$$

Combine 4117122590x and -4108973907x to get 8148683x.

$$8148683x-20577462250+4108973907=0$$

Add -20577462250 and 4108973907 to get -16468488343.

$$8148683x-16468488343=0$$

Add 16468488343 to both sides. Anything plus zero gives itself.

$$8148683x=16468488343$$

Divide both sides by 8148683.

$$x=\frac{16468488343}{8148683}$$

Divide 16468488343 by 8148683 to get 2021.

$$x=2021$$