2(110-74i)+x(24-10)+62(5-i)+x-5=0

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Solution for 2(110-74i)+x(24-10)+62(5-i)+x-5=0 equation: 


Simplifying
2(110 + -74i) + x(24 + -10) + 62(5 + -1i) + x + -5 = 0
(110 * 2 + -74i * 2) + x(24 + -10) + 62(5 + -1i) + x + -5 = 0
(220 + -148i) + x(24 + -10) + 62(5 + -1i) + x + -5 = 0

Combine like terms: 24 + -10 = 14
220 + -148i + x(14) + 62(5 + -1i) + x + -5 = 0

Reorder the terms for easier multiplication:
220 + -148i + 14x + 62(5 + -1i) + x + -5 = 0
220 + -148i + 14x + (5 * 62 + -1i * 62) + x + -5 = 0
220 + -148i + 14x + (310 + -62i) + x + -5 = 0

Reorder the terms:
220 + 310 + -5 + -148i + -62i + 14x + x = 0

Combine like terms: 220 + 310 = 530
530 + -5 + -148i + -62i + 14x + x = 0

Combine like terms: 530 + -5 = 525
525 + -148i + -62i + 14x + x = 0

Combine like terms: -148i + -62i = -210i
525 + -210i + 14x + x = 0

Combine like terms: 14x + x = 15x
525 + -210i + 15x = 0

Solving
525 + -210i + 15x = 0

Solving for variable 'i'.

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

Add '-525' to each side of the equation.
525 + -210i + -525 + 15x = 0 + -525

Reorder the terms:
525 + -525 + -210i + 15x = 0 + -525

Combine like terms: 525 + -525 = 0
0 + -210i + 15x = 0 + -525
-210i + 15x = 0 + -525

Combine like terms: 0 + -525 = -525
-210i + 15x = -525

Add '-15x' to each side of the equation.
-210i + 15x + -15x = -525 + -15x

Combine like terms: 15x + -15x = 0
-210i + 0 = -525 + -15x
-210i = -525 + -15x

Divide each side by '-210'.
i = 2.5 + 0.07142857143x

Simplifying
i = 2.5 + 0.07142857143x

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