1-2/3(x-3)=2-1/4(3x-4)

Suzhoumeite

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Jun 15, 2024

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Solving the Equation: 1-2/3(x-3)=2-1/4(3x-4)

In this article, we will solve the given equation: 1-2/3(x-3)=2-1/4(3x-4). This equation involves fractions and variables, which can make it seem complex, but fear not! With the right steps, we can solve it easily.

Step 1: Simplify the Equation

First, let's simplify the equation by combining like terms:

1 - 2/3(x-3) = 2 - 1/4(3x-4)

Expand the parentheses:

1 - 2/3x + 2 = 2 - 3/4x + 1

Step 2: Combine Like Terms

Now, let's combine like terms:

-2/3x + 3 = -3/4x + 3

Step 3: Solve for x

Next, we'll solve for x by multiplying both sides by the least common multiple (LCM) of the denominators, which is 12:

-8x + 36 = -9x + 36

Add 8x to both sides:

36 = x

So, the value of x is 36.

Conclusion

We have successfully solved the equation 1-2/3(x-3)=2-1/4(3x-4), and the value of x is 36.