Solve for x x+x+2+3x-6=31

$x + x + 2 + 3 x - 6 = 31$

Simplify $x + x + 2 + 3 x - 6$ .

Add $x$ and $x$ .

$2 x + 2 + 3 x - 6 = 31$

Add $2 x$ and $3 x$ .

$5 x + 2 - 6 = 31$

Subtract $6$ from $2$ .

$5 x - 4 = 31$

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

Add $4$ to both sides of the equation.

$5 x = 31 + 4$

Add $31$ and $4$ .

$5 x = 35$

Divide each term in $5 x = 35$ by $5$ and simplify.

Divide each term in $5 x = 35$ by $5$ .

$\frac{5 x}{5} = \frac{35}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{35}{5}$

Divide $x$ by $1$ .

$x = \frac{35}{5}$

Simplify the right side.

Divide $35$ by $5$ .

$x = 7$