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Find the Domain (x+6)/12=1/6+(x-5)/7

Problem

(x+6)/12=1/6+(x−5)/7

Solution

  1. Identify the type of equation provided. This is a linear equation involving rational expressions where the denominators are constants.

  2. Analyze the denominators of the expressions. The denominators are 12 6 and 7

  3. Determine if there are any values of x that would make any denominator equal to zero. Since all denominators are non-zero constants, there are no restrictions on the variable x

  4. Conclude that the function or equation is defined for all real numbers because there are no variables in the denominators and no square roots of negative numbers.

Final Answer

Domain: *(−∞,∞)


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