(2*x)+(3*y*I)=(-14+9i)

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Solution for (2*x)+(3*y*I)=(-14+9i) equation: 


Simplifying
(2x) + (3y * I) = (-14 + 9i)

Multiply y * I
(2x) + (3yI) = (-14 + 9i)

Remove parenthesis around (-14 + 9i)
(2x) + (3yI) = -14 + 9i

Solving
(2x) + (3yI) = -14 + 9i

Solving for variable 'x'.

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

Add '(-3yI)' to each side of the equation.
(2x) + (3yI) + (-3yI) = -14 + 9i + (-3yI)

Combine like terms: (3yI) + (-3yI) = 0
(2x) + 0 = -14 + 9i + (-3yI)
(2x) = -14 + 9i + (-3yI)

Divide each side by '2'.
x = -7 + 4.5i + (-1.5yI)

Simplifying
x = -7 + 4.5i + (-1.5yI)

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