Answer is x = -4
Step by step
x -2 = 4(x + 1) /2
x - 2 = 4x + 4 /2
To eliminate the division we will multiply both sides by 2
2(x - 2) = 4x + 4 (2) /2
2x -4 = 4x + 4
Subtract 4x from both sides to isolate variable
2x -4x -4 = 4x - 4x + 4
Combine
-2x -4 = 4
Now add 4 to both sides to combine constants
-2x -4 +4 = 4 + 4
Combine
-2x = 8
Divide both sides by -2 to solve for x
-2/-2 x = 8/-2
x = -4