5x 5 is the coefficient and x is the variable.
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In the equation 2x = 6 the coefficent of x is 2
x = 1
7x2 - 5x + 4 is not a monomial because it has more than one term. It is a quadratic polynomial.
A like term of 5x is any term that has the same variable raised to the same power. For example, 3x or -2x are like terms of 5x because they both contain the variable x raised to the first power. Like terms can be combined through addition or subtraction, while terms with different variables or powers cannot be combined.
x + 3x + 5x is effectively a single term. A single term cannot have a greatest COMMON factor where the word common implies that it refers to two or more terms.