1/3(3x-12)=x-4

2 min read Jun 16, 2024
1/3(3x-12)=x-4

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.

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