2(5i-3)=5i+4

Solution for 2(5i-3)=5i+4 equation:

Simplifying
2(5i + -3) = 5i + 4

Reorder the terms:
2(-3 + 5i) = 5i + 4
(-3 * 2 + 5i * 2) = 5i + 4
(-6 + 10i) = 5i + 4

Reorder the terms:
-6 + 10i = 4 + 5i

Solving
-6 + 10i = 4 + 5i

Solving for variable 'i'.

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

Add '-5i' to each side of the equation.
-6 + 10i + -5i = 4 + 5i + -5i

Combine like terms: 10i + -5i = 5i
-6 + 5i = 4 + 5i + -5i

Combine like terms: 5i + -5i = 0
-6 + 5i = 4 + 0
-6 + 5i = 4

Add '6' to each side of the equation.
-6 + 6 + 5i = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5i = 4 + 6
5i = 4 + 6

Combine like terms: 4 + 6 = 10
5i = 10

Divide each side by '5'.
i = 2

Simplifying
i = 2