Solve for x 5x-9=11x+15

$5 x - 9 = 11 x + 15$

Step 1

Move all terms containing $x$ to the left side of the equation.

Subtract $11 x$ from both sides of the equation.

$5 x - 9 - 11 x = 15$

Subtract $11 x$ from $5 x$ .

$- 6 x - 9 = 15$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $9$ to both sides of the equation.

$- 6 x = 15 + 9$

Add $15$ and $9$ .

$- 6 x = 24$

Step 3

Divide each term in $- 6 x = 24$ by $- 6$ and simplify.

Divide each term in $- 6 x = 24$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{24}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{24}{- 6}$

Divide $x$ by $1$ .

$x = \frac{24}{- 6}$

Simplify the right side.

Divide $24$ by $- 6$ .

$x = - 4$