Answer:
x = 1
Explanation:
Step 1: Simplify both sides of the equation.
3(x+1)=2(x−1)+6
(3) (x )+ (3) (1) = (2) (x) + (2) (−1) + 6 (Use Distrbutive Property)
3x + 3 = 2x + (−2) + 6
3x + 3 = (2x) + (−2 + 6) (Combine Like Terms)
3x + 3 = 2x + 4
3x + 3 = 2x + 4
Step 2: Subtract 2x from both sides.
3x + 3 − 2x = 2x + 4 − 2x
x + 3 = 4
Step 3: Subtract 3 from both sides.
x + 3 − 3 = 4 − 3
x = 1