Solve for x 3x-17+x+40+2x-5=180

$3 x - 17 + x + 40 + 2 x - 5 = 180$

Simplify $3 x - 17 + x + 40 + 2 x - 5$ .

Add $3 x$ and $x$ .

$4 x - 17 + 40 + 2 x - 5 = 180$

Add $4 x$ and $2 x$ .

$6 x - 17 + 40 - 5 = 180$

Simplify by adding and subtracting.

Add $- 17$ and $40$ .

$6 x + 23 - 5 = 180$

Subtract $5$ from $23$ .

$6 x + 18 = 180$

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

Subtract $18$ from both sides of the equation.

$6 x = 180 - 18$

Subtract $18$ from $180$ .

$6 x = 162$

Divide each term in $6 x = 162$ by $6$ and simplify.

Divide each term in $6 x = 162$ by $6$ .

$\frac{6 x}{6} = \frac{162}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{162}{6}$

Divide $x$ by $1$ .

$x = \frac{162}{6}$

Simplify the right side.

Divide $162$ by $6$ .

$x = 27$