Solve 8x+9-12x=4x-13-5x

Question

Solve the equation

x = \frac{22}{3}

Alternative Form

x = 7. \dot{3}

Evaluate

8 x + 9 - 12 x = 4 x - 13 - 5 x

Subtract the terms

More Steps

Evaluate

8 x - 12 x

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

(8 - 12) x

Subtract the numbers

- 4 x

- 4 x + 9 = 4 x - 13 - 5 x

Subtract the terms

More Steps

Evaluate

4 x - 5 x

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

(4 - 5) x

Subtract the numbers

- x

- 4 x + 9 = - x - 13

Move the expression to the left side

- 4 x + 9 + x = - 13

Move the expression to the right side

- 4 x + x = - 13 - 9

Add and subtract

More Steps

Evaluate

- 4 x + x

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

(- 4 + 1) x

Add the numbers

- 3 x

- 3 x = - 13 - 9

Add and subtract

- 3 x = - 22

Change the signs on both sides of the equation

3 x = 22

Divide both sides

\frac{3 x}{3} = \frac{22}{3}

Solution

x = \frac{22}{3}

Alternative Form

x = 7. \dot{3}

Show Solution

Rewrite the equation

3 x = 22

Evaluate

8 x + 9 - 12 x = 4 x - 13 - 5 x

Evaluate

More Steps

Evaluate

8 x + 9 - 12 x

Subtract the terms

More Steps

Evaluate

8 x - 12 x

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

(8 - 12) x

Subtract the numbers

- 4 x

- 4 x + 9

- 4 x + 9 = 4 x - 13 - 5 x

Evaluate

More Steps

Evaluate

4 x - 13 - 5 x

Subtract the terms

More Steps

Evaluate

4 x - 5 x

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

(4 - 5) x

Subtract the numbers

- x

- x - 13

- 4 x + 9 = - x - 13

Move the variable to the left side

- 3 x + 9 = - 13

Move the constant to the right side

- 3 x = - 22

Solution

3 x = 22

Show Solution

Solve the equation

Rewrite the equation

Graph