Solve x/1022*1+x/1022*2+x/1022*3+x/1022*4+frac{x}{1002*5}=60000

$$\frac { x } { 1022 \cdot 1 } + \frac { x } { 1022 \cdot 2 } + \frac { x } { 1022 \cdot 3 } + \frac { x } { 1022 \cdot 4 } + \frac { x } { 1002 \cdot 5 } = 60000$$

Solve for x

$$x = \frac{614426400000}{22919} = 26808604\frac{4924}{22919} \approx 26808604.21484358$$

Steps for Solving Linear Equation

Multiply 1022 and 1 to get 1022.

$$\frac{x}{1022}+\frac{x}{1022\times 2}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Multiply 1022 and 2 to get 2044.

$$\frac{x}{1022}+\frac{x}{2044}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Combine \frac{x}{1022} and \frac{x}{2044} to get \frac{3}{2044}x.

$$\frac{3}{2044}x+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Multiply 1022 and 3 to get 3066.

$$\frac{3}{2044}x+\frac{x}{3066}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Combine \frac{3}{2044}x and \frac{x}{3066} to get \frac{11}{6132}x.

$$\frac{11}{6132}x+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Multiply 1022 and 4 to get 4088.

$$\frac{11}{6132}x+\frac{x}{4088}+\frac{x}{1002\times 5}=60000$$

Combine \frac{11}{6132}x and \frac{x}{4088} to get \frac{25}{12264}x.

$$\frac{25}{12264}x+\frac{x}{1002\times 5}=60000$$

Multiply 1002 and 5 to get 5010.

$$\frac{25}{12264}x+\frac{x}{5010}=60000$$

Combine \frac{25}{12264}x and \frac{x}{5010} to get \frac{22919}{10240440}x.

$$\frac{22919}{10240440}x=60000$$

Multiply both sides by \frac{10240440}{22919}, the reciprocal of \frac{22919}{10240440}.

$$x=60000\times \frac{10240440}{22919}$$

Express 60000\times \frac{10240440}{22919} as a single fraction.

$$x=\frac{60000\times 10240440}{22919}$$

Multiply 60000 and 10240440 to get 614426400000.

$$x=\frac{614426400000}{22919}$$