X+3i(4-I)=7-5i

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Solution for X+3i(4-I)=7-5i equation:


Simplifying
X + 3i(4 + -1I) = 7 + -5i
X + (4 * 3i + -1I * 3i) = 7 + -5i
X + (12i + -3iI) = 7 + -5i

Solving
X + 12i + -3iI = 7 + -5i

Solving for variable 'X'.

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

Add '-12i' to each side of the equation.
X + 12i + -12i + -3iI = 7 + -5i + -12i

Combine like terms: 12i + -12i = 0
X + 0 + -3iI = 7 + -5i + -12i
X + -3iI = 7 + -5i + -12i

Combine like terms: -5i + -12i = -17i
X + -3iI = 7 + -17i

Add '3iI' to each side of the equation.
X + -3iI + 3iI = 7 + -17i + 3iI

Combine like terms: -3iI + 3iI = 0
X + 0 = 7 + -17i + 3iI
X = 7 + -17i + 3iI

Simplifying
X = 7 + -17i + 3iI

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