Solve for x (x+2)+(2y-1)i=-1+5i

$(x + 2) + (2 y - 1) i = - 1 + 5 i$

Simplify each term.

Apply the distributive property.

$x + 2 + 2 y i - 1 i = - 1 + 5 i$

Rewrite $- 1 i$ as $- i$ .

$x + 2 + 2 y i - i = - 1 + 5 i$

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

Subtract $2$ from both sides of the equation.

$x + 2 y i - i = - 1 + 5 i - 2$

Subtract $2 y i$ from both sides of the equation.

$x - i = - 1 + 5 i - 2 - 2 y i$

Add $i$ to both sides of the equation.

$x = - 1 + 5 i - 2 - 2 y i + i$

Subtract $2$ from $- 1$ .

$x = - 3 + 5 i - 2 y i + i$

Add $5 i$ and $i$ .

$x = - 3 - 2 y i + 6 i$