Find the Domain 12-5x=7x

Problem

12−5*x=7*x

Solution

1. Identify the type of expression given. The expression 12 - 5x = 7x$ is a linear equation.

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

3. Analyze the components of the equation. Both sides of the equation are polynomials (specifically, linear functions).

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

Final Answer

Domain: *(−∞,∞)

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