3 (x + 1) = - 2 (x - 1) + 6

x=1

Step-by-step explanation:

3 (x+1) = -2 (x-1) + 6

1) Distribute 3 to x and 1:

3x+3=-2 (x-1) + 6

2) Distribute - 2 to x and - 1:

3x+3=-2x+2+6

3) Combine alike terms:

3x+3=-2x+8

4) Add 2x to both sides:

5x+3=8

5) Subtract 3 from both sides:

5x=5

6) Divide both sides by 5:

x=1