Solve for x 4x-22+10x-4+x+11=180

$4 x - 22 + 10 x - 4 + x + 11 = 180$

Step 1

Simplify $4 x - 22 + 10 x - 4 + x + 11$ .

Add $4 x$ and $10 x$ .

$14 x - 22 - 4 + x + 11 = 180$

Add $14 x$ and $x$ .

$15 x - 22 - 4 + 11 = 180$

Simplify by adding and subtracting.

Subtract $4$ from $- 22$ .

$15 x - 26 + 11 = 180$

Add $- 26$ and $11$ .

$15 x - 15 = 180$

Step 2

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

Add $15$ to both sides of the equation.

$15 x = 180 + 15$

Add $180$ and $15$ .

$15 x = 195$

Step 3

Divide each term in $15 x = 195$ by $15$ and simplify.

Divide each term in $15 x = 195$ by $15$ .

$\frac{15 x}{15} = \frac{195}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{195}{15}$

Divide $x$ by $1$ .

$x = \frac{195}{15}$

Simplify the right side.

Divide $195$ by $15$ .

$x = 13$