(3x-4y)+(6x+2y)=5i

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Solution for (3x-4y)+(6x+2y)=5i equation:


Simplifying
(3x + -4y) + (6x + 2y) = 5i

Remove parenthesis around (3x + -4y)
3x + -4y + (6x + 2y) = 5i

Remove parenthesis around (6x + 2y)
3x + -4y + 6x + 2y = 5i

Reorder the terms:
3x + 6x + -4y + 2y = 5i

Combine like terms: 3x + 6x = 9x
9x + -4y + 2y = 5i

Combine like terms: -4y + 2y = -2y
9x + -2y = 5i

Solving
9x + -2y = 5i

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
9x + -2y + 2y = 5i + 2y

Combine like terms: -2y + 2y = 0
9x + 0 = 5i + 2y
9x = 5i + 2y

Divide each side by '9'.
x = 0.5555555556i + 0.2222222222y

Simplifying
x = 0.5555555556i + 0.2222222222y

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