Final answer:The equation 2x-10=2(_-_) can be solved by finding a binomial, let's say (a - b), that when multiplied by 2, equals 2x-10, which simplifies to a - b being x - 5.Explanation:To solve the equation 2x-10=2(_-_), you first need to recognize that the blank spaces represent a single expression that, when multiplied by 2, will result in 2x-10.Now, remember that when you multiply a binomial by a constant, you must multiply each term of the binomial by that constant.The equation essentially asks for an expression that, when doubled, equals 2x-10.Let's call the missing binomial (a - b).Multiply it by 2 to get 2(a - b), which must then equal 2x - 10.Therefore, a - b must equal x - 5, because 2(x - 5) = 2x - 10....

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