Find All Complex Solutions -13x+12=13x+13

$- 13 x + 12 = 13 x + 13$

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

Subtract $13 x$ from both sides of the equation.

$- 13 x + 12 - 13 x = 13$

Subtract $13 x$ from $- 13 x$ .

$- 26 x + 12 = 13$

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

Subtract $12$ from both sides of the equation.

$- 26 x = 13 - 12$

Subtract $12$ from $13$ .

$- 26 x = 1$

Divide each term in $- 26 x = 1$ by $- 26$ and simplify.

Divide each term in $- 26 x = 1$ by $- 26$ .

$\frac{- 26 x}{- 26} = \frac{1}{- 26}$

Simplify the left side.

Cancel the common factor of $- 26$ .

Cancel the common factor.

$\frac{- 26 x}{- 26} = \frac{1}{- 26}$

Divide $x$ by $1$ .

$x = \frac{1}{- 26}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{26}$