Solving the Equation: 1/3(6x-12)=4(1/2x+1)-2
In this article, we will discuss how to solve the equation 1/3(6x-12)=4(1/2x+1)-2.
Step 1: Simplify the Left Side of the Equation
First, let's simplify the left side of the equation:
1/3(6x-12) = 2x - 4
Step 2: Simplify the Right Side of the Equation
Next, let's simplify the right side of the equation:
4(1/2x+1) = 2x + 4
So, the equation becomes:
2x - 4 = 2x + 4 - 2
Step 3: Simplify Further
Let's simplify further:
2x - 4 = 2x + 2
Step 4: Solve for x
Now, let's solve for x:
2x - 2x = 4 + 2
-x = 6
x = -6
Therefore, the value of x is -6.
Conclusion
In conclusion, we have solved the equation 1/3(6x-12)=4(1/2x+1)-2 and found the value of x to be -6.