3i + 5 = 2i −7 simplfy this

Answer 1

To simplify the equation \(3i + 5 = 2i - 7\), follow these steps:

1. Move all terms involving \(i\) to one side and the constant terms to the other side. Subtract \(2i\) from both sides:

   \[ 3i - 2i + 5 = -7 \]

   This simplifies to:

   \[ i + 5 = -7 \]

2. Next, subtract \(5\) from both sides:

   \[ i = -7 - 5 \]

   So:

   \[ i = -12 \]

Therefore, the simplified solution is:

\[ i = -12 \]