5i-10=3i+390

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Solution for 5i-10=3i+390 equation:


Simplifying
5i + -10 = 3i + 390

Reorder the terms:
-10 + 5i = 3i + 390

Reorder the terms:
-10 + 5i = 390 + 3i

Solving
-10 + 5i = 390 + 3i

Solving for variable 'i'.

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

Add '-3i' to each side of the equation.
-10 + 5i + -3i = 390 + 3i + -3i

Combine like terms: 5i + -3i = 2i
-10 + 2i = 390 + 3i + -3i

Combine like terms: 3i + -3i = 0
-10 + 2i = 390 + 0
-10 + 2i = 390

Add '10' to each side of the equation.
-10 + 10 + 2i = 390 + 10

Combine like terms: -10 + 10 = 0
0 + 2i = 390 + 10
2i = 390 + 10

Combine like terms: 390 + 10 = 400
2i = 400

Divide each side by '2'.
i = 200

Simplifying
i = 200

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