Find All Complex Solutions 19x-18=-19x+18

$19 x - 18 = - 19 x + 18$

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

Add $19 x$ to both sides of the equation.

$19 x - 18 + 19 x = 18$

Add $19 x$ and $19 x$ .

$38 x - 18 = 18$

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

Add $18$ to both sides of the equation.

$38 x = 18 + 18$

Add $18$ and $18$ .

$38 x = 36$

Divide each term in $38 x = 36$ by $38$ and simplify.

Divide each term in $38 x = 36$ by $38$ .

$\frac{38 x}{38} = \frac{36}{38}$

Simplify the left side.

Cancel the common factor of $38$ .

Cancel the common factor.

$\frac{38 x}{38} = \frac{36}{38}$

Divide $x$ by $1$ .

$x = \frac{36}{38}$

Simplify the right side.

Cancel the common factor of $36$ and $38$ .

Factor $2$ out of $36$ .

$x = \frac{2 (18)}{38}$

Cancel the common factors.

Factor $2$ out of $38$ .

$x = \frac{2 \cdot 18}{2 \cdot 19}$

Cancel the common factor.

$x = \frac{2 \cdot 18}{2 \cdot 19}$

Rewrite the expression.

$x = \frac{18}{19}$