Answer:
x = 1 - i(3 - 2x - 1)
Step-by-step explanation:
One question per post, please.
We want to solve the equation p = q, where p = 1 - 3i and q = x + (2x + 1)i.
Expanding q, we get q = x + 2xI + i, so that p + q becomes
1 - 3i = x + 2xi + i
Solving for x by subtracing (2xi + 1) from both sides, we get:
1 - 3i - 2xi - i = x
This result could be left as is, or we could separate the real and imaginary parts:
x = 1 - i(3 - 2x - 1)