Solve for x 13x-9=19-16+x

$13 x - 9 = 19 - 16 + x$

Subtract $16$ from $19$ .

$13 x - 9 = 3 + x$

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

Subtract $x$ from both sides of the equation.

$13 x - 9 - x = 3$

Subtract $x$ from $13 x$ .

$12 x - 9 = 3$

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

Add $9$ to both sides of the equation.

$12 x = 3 + 9$

Add $3$ and $9$ .

$12 x = 12$

Divide each term in $12 x = 12$ by $12$ and simplify.

Divide each term in $12 x = 12$ by $12$ .

$\frac{12 x}{12} = \frac{12}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} = \frac{12}{12}$

Divide $x$ by $1$ .

$x = \frac{12}{12}$

Simplify the right side.

Divide $12$ by $12$ .

$x = 1$