(x-1/99+x-99)+(x-3/97+x-7/93)+(x-5/95+x-95/5)=6

Jasonbradley

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Jun 17, 2024

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Solving the Equation: (x-1/99+x-99)+(x-3/97+x-7/93)+(x-5/95+x-95/5)=6

This equation presents a unique challenge with its complex fractions and multiple variables. Let's break it down step by step to find the solution for x.

1. Simplifying the Equation

First, we can simplify the equation by combining like terms. Observe that each set of parentheses contains two terms with x and two constant terms.

• Combining x terms: (x + x) + (x + x) + (x + x) = 6x
• Combining constant terms: (-1/99 - 99) + (-3/97 - 7/93) + (-5/95 - 95/5)

The constant terms can be calculated using a calculator or by finding a common denominator.

2. Solving for x

After simplifying, the equation becomes:

6x + (constant term) = 6

To isolate x, we can follow these steps:

1. Subtract the constant term from both sides: 6x = 6 - (constant term)

2. Divide both sides by 6: x = (6 - (constant term)) / 6

3. Calculating the Solution

The final step is to calculate the value of the constant term and then solve for x.

Important Note: The calculation of the constant term involves fractions with large denominators. It's recommended to use a calculator or a computer program to find the precise value.

Once you have the value of the constant term, substitute it into the equation and solve for x. This will give you the final solution for the equation.