Solve for x 6x+14=-5x+4+9x

$6 x + 14 = - 5 x + 4 + 9 x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 5 x + 4 + 9 x = 6 x + 14$

Add $- 5 x$ and $9 x$ .

$4 x + 4 = 6 x + 14$

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

Subtract $6 x$ from both sides of the equation.

$4 x + 4 - 6 x = 14$

Subtract $6 x$ from $4 x$ .

$- 2 x + 4 = 14$

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

Subtract $4$ from both sides of the equation.

$- 2 x = 14 - 4$

Subtract $4$ from $14$ .

$- 2 x = 10$

Divide each term in $- 2 x = 10$ by $- 2$ and simplify.

Divide each term in $- 2 x = 10$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{10}{- 2}$

Divide $x$ by $1$ .

$x = \frac{10}{- 2}$

Simplify the right side.

Divide $10$ by $- 2$ .

$x = - 5$