Solve for x 7-4x+2x=9+3x+8

$7 - 4 x + 2 x = 9 + 3 x + 8$

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

$7 - 2 x = 9 + 3 x + 8$

Add $9$ and $8$ .

$7 - 2 x = 3 x + 17$

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

Subtract $3 x$ from both sides of the equation.

$7 - 2 x - 3 x = 17$

Subtract $3 x$ from $- 2 x$ .

$7 - 5 x = 17$

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

Subtract $7$ from both sides of the equation.

$- 5 x = 17 - 7$

Subtract $7$ from $17$ .

$- 5 x = 10$

Divide each term in $- 5 x = 10$ by $- 5$ and simplify.

Divide each term in $- 5 x = 10$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{10}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{10}{- 5}$

Divide $x$ by $1$ .

$x = \frac{10}{- 5}$

Simplify the right side.

Divide $10$ by $- 5$ .

$x = - 2$