Find the Domain (4x-3)/5-(2x-3)/2=-2

Problem

(4*x−3)/5−(2*x−3)/2=−2

Solution

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

2. Examine the denominators for variables. The denominators are 5 and 2 which are constants and never equal to zero.

3. Determine the restrictions. Since there are no variables in any denominator and no square roots of negative values or logarithms of non-positive values, there are no values of x that make the expression undefined.

4. Conclude the domain. The domain of a linear equation with constant denominators is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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