Solving the Equation: 1/2(6+4x)-1/4(8x-12)=1/2(2x-4)
In this article, we will solve the equation 1/2(6+4x)-1/4(8x-12)=1/2(2x-4) step by step.
Step 1: Simplify the Left-Hand Side
First, let's simplify the left-hand side of the equation:
1/2(6+4x) = 3 + 2x -1/4(8x-12) = -2x + 3
So, the left-hand side becomes:
3 + 2x - 2x + 3 = 6
Step 2: Simplify the Right-Hand Side
Now, let's simplify the right-hand side of the equation:
1/2(2x-4) = x - 2
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
6 = x - 2
Step 4: Solve for x
Finally, let's solve for x:
x - 2 = 6 x = 6 + 2 x = 8
Therefore, the value of x is 8.
In conclusion, we have solved the equation 1/2(6+4x)-1/4(8x-12)=1/2(2x-4) and found the value of x to be 8.