3(i+2)=4i

Solution for 3(i+2)=4i equation:

Simplifying
3(i + 2) = 4i

Reorder the terms:
3(2 + i) = 4i
(2 * 3 + i * 3) = 4i
(6 + 3i) = 4i

Solving
6 + 3i = 4i

Solving for variable 'i'.

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

Add '-4i' to each side of the equation.
6 + 3i + -4i = 4i + -4i

Combine like terms: 3i + -4i = -1i
6 + -1i = 4i + -4i

Combine like terms: 4i + -4i = 0
6 + -1i = 0

Add '-6' to each side of the equation.
6 + -6 + -1i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1i = 0 + -6
-1i = 0 + -6

Combine like terms: 0 + -6 = -6
-1i = -6

Divide each side by '-1'.
i = 6

Simplifying
i = 6