Solve 6x-563x 13=5x-289x-30

Question

Solve the equation

x = \frac{10}{2343}

Alternative Form

x \approx 0.004268

Evaluate

6 x - 563 x \times 13 = 5 x - 289 x - 30

Simplify

More Steps

Evaluate

6 x - 563 x \times 13

Multiply the terms

6 x - 7319 x

Collect like terms by calculating the sum or difference of their coefficients

(6 - 7319) x

Subtract the numbers

- 7313 x

- 7313 x = 5 x - 289 x - 30

Subtract the terms

More Steps

Evaluate

5 x - 289 x

Collect like terms by calculating the sum or difference of their coefficients

(5 - 289) x

Subtract the numbers

- 284 x

- 7313 x = - 284 x - 30

Move the variable to the left side

- 7313 x + 284 x = - 30

Add the terms

More Steps

Evaluate

- 7313 x + 284 x

Collect like terms by calculating the sum or difference of their coefficients

(- 7313 + 284) x

Add the numbers

- 7029 x

- 7029 x = - 30

Change the signs on both sides of the equation

7029 x = 30

Divide both sides

\frac{7029 x}{7029} = \frac{30}{7029}

Divide the numbers

x = \frac{30}{7029}

Solution

x = \frac{10}{2343}

Alternative Form

x \approx 0.004268

Show Solution

Rewrite the equation

2343 x = 10

Evaluate

6 x - 563 x \times 13 = 5 x - 289 x - 30

Evaluate

More Steps

Evaluate

6 x - 563 x \times 13

Multiply the terms

6 x - 7319 x

Collect like terms by calculating the sum or difference of their coefficients

(6 - 7319) x

Subtract the numbers

- 7313 x

- 7313 x = 5 x - 289 x - 30

Evaluate

More Steps

Evaluate

5 x - 289 x - 30

Subtract the terms

More Steps

Evaluate

5 x - 289 x

Collect like terms by calculating the sum or difference of their coefficients

(5 - 289) x

Subtract the numbers

- 284 x

- 284 x - 30

- 7313 x = - 284 x - 30

Move the variable to the left side

- 7029 x = - 30

Multiply both sides

7029 x = 30

Solution

2343 x = 10

Show Solution

Solve the equation

Rewrite the equation

Graph