1/2(6+4x)-1/4(8x-12)=1/2(2x-4)

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Jun 16, 2024

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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.