3(i-2)=2i+1

Solution for 3(i-2)=2i+1 equation:

Simplifying
3(i + -2) = 2i + 1

Reorder the terms:
3(-2 + i) = 2i + 1
(-2 * 3 + i * 3) = 2i + 1
(-6 + 3i) = 2i + 1

Reorder the terms:
-6 + 3i = 1 + 2i

Solving
-6 + 3i = 1 + 2i

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
-6 + 3i + -2i = 1 + 2i + -2i

Combine like terms: 3i + -2i = 1i
-6 + 1i = 1 + 2i + -2i

Combine like terms: 2i + -2i = 0
-6 + 1i = 1 + 0
-6 + 1i = 1

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

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

Combine like terms: 1 + 6 = 7
1i = 7

Divide each side by '1'.
i = 7

Simplifying
i = 7