2i-10+10i+5=10i+20-9i+3

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Solution for 2i-10+10i+5=10i+20-9i+3 equation:


Simplifying
2i + -10 + 10i + 5 = 10i + 20 + -9i + 3

Reorder the terms:
-10 + 5 + 2i + 10i = 10i + 20 + -9i + 3

Combine like terms: -10 + 5 = -5
-5 + 2i + 10i = 10i + 20 + -9i + 3

Combine like terms: 2i + 10i = 12i
-5 + 12i = 10i + 20 + -9i + 3

Reorder the terms:
-5 + 12i = 20 + 3 + 10i + -9i

Combine like terms: 20 + 3 = 23
-5 + 12i = 23 + 10i + -9i

Combine like terms: 10i + -9i = 1i
-5 + 12i = 23 + 1i

Solving
-5 + 12i = 23 + 1i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
-5 + 12i + -1i = 23 + 1i + -1i

Combine like terms: 12i + -1i = 11i
-5 + 11i = 23 + 1i + -1i

Combine like terms: 1i + -1i = 0
-5 + 11i = 23 + 0
-5 + 11i = 23

Add '5' to each side of the equation.
-5 + 5 + 11i = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 11i = 23 + 5
11i = 23 + 5

Combine like terms: 23 + 5 = 28
11i = 28

Divide each side by '11'.
i = 2.545454545

Simplifying
i = 2.545454545

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