Solve (2x-3y)+5i=-4+(x+2y)

$$( 2 x - 3 y ) + 5 i = - 4 + ( x + 2 y )$$

Solve for y

$$y=\frac{x+\left(4+5i\right)}{5}$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$2x-3y+5i-2y=-4+x$$

Combine -3y and -2y to get -5y.

$$2x-5y+5i=-4+x$$

Subtract 2x from both sides.

$$-5y+5i=-4+x-2x$$

Combine x and -2x to get -x.

$$-5y+5i=-4-x$$

Subtract 5i from both sides.

$$-5y=-4-x-5i$$

The equation is in standard form.

$$-5y=-4-5i-x$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-4-5i-x}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-4-5i-x}{-5}$$

Divide -4-5i-x by -5.

$$y=\frac{x}{5}+\left(\frac{4}{5}+i\right)$$

Solve for x

$$x=5y+\left(-4-5i\right)$$