Solve for x 2x-yi=14+12i

$2 x - y i = 14 + 12 i$

Add $y i$ to both sides of the equation.

$2 x = 14 + 12 i + y i$

Divide each term in $2 x = 14 + 12 i + y i$ by $2$ and simplify.

Divide each term in $2 x = 14 + 12 i + y i$ by $2$ .

$\frac{2 x}{2} = \frac{14}{2} + \frac{12 i}{2} + \frac{y i}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{14}{2} + \frac{12 i}{2} + \frac{y i}{2}$

Divide $x$ by $1$ .

$x = \frac{14}{2} + \frac{12 i}{2} + \frac{y i}{2}$

Simplify the right side.

Simplify each term.

Divide $14$ by $2$ .

$x = 7 + \frac{12 i}{2} + \frac{y i}{2}$

Cancel the common factor of $12$ and $2$ .

Factor $2$ out of $12 i$ .

$x = 7 + \frac{2 (6 i)}{2} + \frac{y i}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$x = 7 + \frac{2 (6 i)}{2 (1)} + \frac{y i}{2}$

Cancel the common factor.

$x = 7 + \frac{2 (6 i)}{2 \cdot 1} + \frac{y i}{2}$

Rewrite the expression.

$x = 7 + \frac{6 i}{1} + \frac{y i}{2}$

Divide $6 i$ by $1$ .

$x = 7 + 6 i + \frac{y i}{2}$