5(i+2)=3(i+6)

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Solution for 5(i+2)=3(i+6) equation:


Simplifying
5(i + 2) = 3(i + 6)

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

Reorder the terms:
10 + 5i = 3(6 + i)
10 + 5i = (6 * 3 + i * 3)
10 + 5i = (18 + 3i)

Solving
10 + 5i = 18 + 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 = 18 + 3i + -3i

Combine like terms: 5i + -3i = 2i
10 + 2i = 18 + 3i + -3i

Combine like terms: 3i + -3i = 0
10 + 2i = 18 + 0
10 + 2i = 18

Add '-10' to each side of the equation.
10 + -10 + 2i = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2i = 18 + -10
2i = 18 + -10

Combine like terms: 18 + -10 = 8
2i = 8

Divide each side by '2'.
i = 4

Simplifying
i = 4

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