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

Question

Solve the equation

x = - \frac{13}{61}

Alternative Form

x \approx - 0.213115

Evaluate

8 x \times 9 - 12 x = 4 x - 13 - 5 x

Simplify

More Steps

Evaluate

8 x \times 9 - 12 x

Multiply the terms

72 x - 12 x

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

(72 - 12) x

Subtract the numbers

60 x

60 x = 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

60 x = - x - 13

Move the variable to the left side

60 x + x = - 13

Add the terms

More Steps

Evaluate

60 x + x

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

(60 + 1) x

Add the numbers

61 x

61 x = - 13

Divide both sides

\frac{61 x}{61} = \frac{- 13}{61}

Divide the numbers

x = \frac{- 13}{61}

Solution

x = - \frac{13}{61}

Alternative Form

x \approx - 0.213115

Show Solution

61 x = - 13

Evaluate

8 x \times 9 - 12 x = 4 x - 13 - 5 x

Evaluate

More Steps

Evaluate

8 x \times 9 - 12 x

Multiply the terms

72 x - 12 x

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

(72 - 12) x

Subtract the numbers

60 x

60 x = 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

60 x = - x - 13

Solution

61 x = - 13

Show Solution