3+4i=x+4i

Solution for 3+4i=x+4i equation:

Simplifying
3 + 4i = x + 4i

Reorder the terms:
3 + 4i = 4i + x

Add '-4i' to each side of the equation.
3 + 4i + -4i = 4i + -4i + x

Combine like terms: 4i + -4i = 0
3 + 0 = 4i + -4i + x
3 = 4i + -4i + x

Combine like terms: 4i + -4i = 0
3 = 0 + x
3 = x

Solving
3 = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
3 + -1x = x + -1x

Combine like terms: x + -1x = 0
3 + -1x = 0

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3