Solve for x (x+yi)-(-8+11i)=5+9i

$(x + y i) - (- 8 + 11 i) = 5 + 9 i$

Simplify each term.

Apply the distributive property.

$x + y i - - 8 - (11 i) = 5 + 9 i$

Multiply $- 1$ by $- 8$ .

$x + y i + 8 - (11 i) = 5 + 9 i$

Multiply $11$ by $- 1$ .

$x + y i + 8 - 11 i = 5 + 9 i$

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

Subtract $y i$ from both sides of the equation.

$x + 8 - 11 i = 5 + 9 i - y i$

Subtract $8$ from both sides of the equation.

$x - 11 i = 5 + 9 i - y i - 8$

Add $11 i$ to both sides of the equation.

$x = 5 + 9 i - y i - 8 + 11 i$

Subtract $8$ from $5$ .

$x = - 3 + 9 i - y i + 11 i$

Add $9 i$ and $11 i$ .

$x = - 3 - y i + 20 i$