5(i+1.2)=8i

Solution for 5(i+1.2)=8i equation:

Simplifying
5(i + 1.2) = 8i

Reorder the terms:
5(1.2 + i) = 8i
(1.2 * 5 + i * 5) = 8i
(6 + 5i) = 8i

Solving
6 + 5i = 8i

Solving for variable 'i'.

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

Add '-8i' to each side of the equation.
6 + 5i + -8i = 8i + -8i

Combine like terms: 5i + -8i = -3i
6 + -3i = 8i + -8i

Combine like terms: 8i + -8i = 0
6 + -3i = 0

Add '-6' to each side of the equation.
6 + -6 + -3i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3i = 0 + -6
-3i = 0 + -6

Combine like terms: 0 + -6 = -6
-3i = -6

Divide each side by '-3'.
i = 2

Simplifying
i = 2