If 3(x-1)=-6, find value of x is?

The correct answer is -1. This is a basic linear equation. We will isolate the variable x step by step using algebraic operations.

Step-by-Step Solution

• Write the Given Equation:
  
  3(x - 1) = -6
• Distribute the 3 on the Left Side (or Divide First):
  
  Method 1 – Divide first:
  
  Divide both sides by 3 to remove the coefficient:
  
  (x - 1) = -6 ÷ 3
  
  x - 1 = -2
• Isolate x:
  
  Add 1 to both sides:
  
  x - 1 + 1 = -2 + 1
  
  x = -1
• Verification:
  
  Substitute x = -1 back into the original equation:
  
  3(-1 - 1) = 3(-2) = -6. The left side equals the right side, confirming the solution.

Therefore, the value of x is -1.