Solve for x -4x+2x+5=-6-5x+8

$- 4 x + 2 x + 5 = - 6 - 5 x + 8$

Add $- 4 x$ and $2 x$ .

$- 2 x + 5 = - 6 - 5 x + 8$

Add $- 6$ and $8$ .

$- 2 x + 5 = - 5 x + 2$

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

Add $5 x$ to both sides of the equation.

$- 2 x + 5 + 5 x = 2$

Add $- 2 x$ and $5 x$ .

$3 x + 5 = 2$

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

Subtract $5$ from both sides of the equation.

$3 x = 2 - 5$

Subtract $5$ from $2$ .

$3 x = - 3$

Divide each term in $3 x = - 3$ by $3$ and simplify.

Divide each term in $3 x = - 3$ by $3$ .

$\frac{3 x}{3} = \frac{- 3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 3}{3}$

Divide $x$ by $1$ .

$x = \frac{- 3}{3}$

Simplify the right side.

Divide $- 3$ by $3$ .

$x = - 1$