Find the Domain -8x+3(-2x-2)=-12-8x

Problem

−8*x+3*(−2*x−2)=−12−8*x

Solution

1. Identify the type of equation provided. The expression −8*x+3*(−2*x−2)=−12−8*x is a linear equation in one variable.

2. Analyze the components of the equation for any restrictions. The equation consists of polynomial terms (linear terms and constants).

3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Determine that since there are no fractions with variables in the denominator, no radicals with even roots, and no transcendental functions, the variable x can take any real value.

5. Conclude that the domain of the expression/equation is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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