x−2=−3x+14

Sure, let's solve the equation step by step:

1. First, we need to get all the x terms on one side of the equation and the numbers on the other side. We can do this by adding 3x to both sides of the equation:

   x + 3x - 2 = -3x + 3x + 14

   This simplifies to:

   4x - 2 = 14

2. Next, we need to isolate the x term. We can do this by adding 2 to both sides of the equation:

   4x - 2 + 2 = 14 + 2

   This simplifies to:

   4x = 16

3. Finally, we need to solve for x. We can do this by dividing both sides of the equation by 4:

   4x / 4 = 16 / 4

   This simplifies to:

   x = 4

So, the solution to the equation x - 2 = -3x + 14 is x = 4.