Find All Complex Solutions -46x-23=46x+23

$- 46 x - 23 = 46 x + 23$

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

Subtract $46 x$ from both sides of the equation.

$- 46 x - 23 - 46 x = 23$

Subtract $46 x$ from $- 46 x$ .

$- 92 x - 23 = 23$

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

Add $23$ to both sides of the equation.

$- 92 x = 23 + 23$

Add $23$ and $23$ .

$- 92 x = 46$

Divide each term in $- 92 x = 46$ by $- 92$ and simplify.

Divide each term in $- 92 x = 46$ by $- 92$ .

$\frac{- 92 x}{- 92} = \frac{46}{- 92}$

Simplify the left side.

Cancel the common factor of $- 92$ .

Cancel the common factor.

$\frac{- 92 x}{- 92} = \frac{46}{- 92}$

Divide $x$ by $1$ .

$x = \frac{46}{- 92}$

Simplify the right side.

Cancel the common factor of $46$ and $- 92$ .

Factor $46$ out of $46$ .

$x = \frac{46 (1)}{- 92}$

Cancel the common factors.

Factor $46$ out of $- 92$ .

$x = \frac{46 \cdot 1}{46 \cdot - 2}$

Cancel the common factor.

$x = \frac{46 \cdot 1}{46 \cdot - 2}$

Rewrite the expression.

$x = \frac{1}{- 2}$

Move the negative in front of the fraction.

$x = - \frac{1}{2}$