x−2=-3x+14

Answer 1

To solve for x, we want to get all the x terms on one side and all the constant terms on the other side.

First, we add 3x to both sides to get:

x - 2 + 3x = 14

Combining like terms, we get:

4x - 2 = 14

Next, we add 2 to both sides to get rid of the constant term:

4x = 16

Finally, we divide both sides by 4 to solve for x:

x = 4

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