Find the Domain 5x-16=19-2x

Problem

5*x−16=19−2*x

Solution

1. Identify the type of expression provided. The expression 5*x−16=19−2*x is a linear equation.

2. Determine if there are any restrictions on the variable x Restrictions typically occur with denominators (which cannot be zero), 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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