Solving the Equation 1/3(3x-12)=x-4
In this article, we will solve the equation 1/3(3x-12)=x-4 step by step.
Simplifying the Left Side of the Equation
Let's start by simplifying the left side of the equation:
1/3(3x-12) = x - 4
Multiply the numerator and denominator of the fraction by 3 to eliminate the fraction:
3x - 12 = 3(x - 4)
Expanding and Combining Like Terms
Now, let's expand the right side of the equation:
3x - 12 = 3x - 12
Combine like terms:
-12 = -12
Solving for x
Now that we have simplified the equation, we can solve for x:
3x - 12 = 3x - 12
Add 12 to both sides of the equation:
3x = 3x + 12
Subtract 3x from both sides of the equation:
0 = 12
Divide both sides of the equation by -1:
x = -12/3
x = -4
Final Answer
The final answer is x = -4.