Find the Domain -x+11=5x+12-(7x-2)

Problem

−x+11=5*x+12−(7*x−2)

Solution

1. Identify the type of expression given. The expression −x+11=5*x+12−(7*x−2) is a linear equation.

2. Determine if there are any restrictions on the variable x Restrictions typically occur in expressions involving division by zero (fractions), square roots of negative numbers, or logarithms of non-positive numbers.

3. Analyze the components of the equation. This equation consists of polynomials (linear terms and constants) on both sides.

4. Conclude that since polynomials are defined for all real numbers, there are no values of x that make the expression undefined.

5. Express the domain in interval notation, representing all real numbers.

Final Answer

Domain: *(−∞,∞)

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