Solve for x 2x-20i=8-4yi

$2 x - 20 i = 8 - 4 y i$

Step 1

Add $20 i$ to both sides of the equation.

$2 x = 8 - 4 y i + 20 i$

Step 2

Divide each term in $2 x = 8 - 4 y i + 20 i$ by $2$ and simplify.

Divide each term in $2 x = 8 - 4 y i + 20 i$ by $2$ .

$\frac{2 x}{2} = \frac{8}{2} + \frac{- 4 y i}{2} + \frac{20 i}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{8}{2} + \frac{- 4 y i}{2} + \frac{20 i}{2}$

Divide $x$ by $1$ .

$x = \frac{8}{2} + \frac{- 4 y i}{2} + \frac{20 i}{2}$

Simplify the right side.

Simplify each term.

Divide $8$ by $2$ .

$x = 4 + \frac{- 4 y i}{2} + \frac{20 i}{2}$

Cancel the common factor of $- 4$ and $2$ .

Factor $2$ out of $- 4 y i$ .

$x = 4 + \frac{2 (- 2 y i)}{2} + \frac{20 i}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$x = 4 + \frac{2 (- 2 y i)}{2 (1)} + \frac{20 i}{2}$

Cancel the common factor.

$x = 4 + \frac{2 (- 2 y i)}{2 \cdot 1} + \frac{20 i}{2}$

Rewrite the expression.

$x = 4 + \frac{- 2 y i}{1} + \frac{20 i}{2}$

Divide $- 2 y i$ by $1$ .

$x = 4 - 2 y i + \frac{20 i}{2}$

Cancel the common factor of $20$ and $2$ .

Factor $2$ out of $20 i$ .

$x = 4 - 2 y i + \frac{2 (10 i)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$x = 4 - 2 y i + \frac{2 (10 i)}{2 (1)}$

Cancel the common factor.

$x = 4 - 2 y i + \frac{2 (10 i)}{2 \cdot 1}$

Rewrite the expression.

$x = 4 - 2 y i + \frac{10 i}{1}$

Divide $10 i$ by $1$ .

$x = 4 - 2 y i + 10 i$