Find the Domain (3x+6)/3-(2x-6)/5=2

Problem

(3*x+6)/3−(2*x−6)/5=2

Solution

1. Identify the type of equation provided. This is a linear equation involving rational expressions with constant denominators.

2. Analyze the denominators of the expressions. The denominators are 3 and 5

3. Determine if there are any values of x that would make any denominator equal to zero. Since the denominators are constants (3≠0 and 5≠0, there are no restrictions on the variable x

4. Conclude that the function or expression 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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