(1+2i)+(3+7i)-2(1-i)=

Solution for (1+2i)+(3+7i)-2(1-i)= equation:

Simplifying
(1 + 2i) + (3 + 7i) + -2(1 + -1i) = 0

Remove parenthesis around (1 + 2i)
1 + 2i + (3 + 7i) + -2(1 + -1i) = 0

Remove parenthesis around (3 + 7i)
1 + 2i + 3 + 7i + -2(1 + -1i) = 0
1 + 2i + 3 + 7i + (1 * -2 + -1i * -2) = 0
1 + 2i + 3 + 7i + (-2 + 2i) = 0

Reorder the terms:
1 + 3 + -2 + 2i + 7i + 2i = 0

Combine like terms: 1 + 3 = 4
4 + -2 + 2i + 7i + 2i = 0

Combine like terms: 4 + -2 = 2
2 + 2i + 7i + 2i = 0

Combine like terms: 2i + 7i = 9i
2 + 9i + 2i = 0

Combine like terms: 9i + 2i = 11i
2 + 11i = 0

Solving
2 + 11i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 11i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11i = 0 + -2
11i = 0 + -2

Combine like terms: 0 + -2 = -2
11i = -2

Divide each side by '11'.
i = -0.1818181818

Simplifying
i = -0.1818181818