Answer First, I need to clarify a common misunderstanding between "solving equation" and "simplifying expression" before explaining the answer.Solving EquationSolving an equation involves finding a unknown value. Such as, finding the value of "x" in a given equation.Let"s look at some rough examples on equations:something = something1 + p - 10 = some expressionsome expression = some other expression3x - 10 = 3Notice something in the example above? All of the examples above have an equal sign (=). So, we can say that an equation must have an equal sign in it. Now, as for the question: 2(3x-1)-x+7Looks like the equal sign (=) is missing. So, the above is not an equation and there is no way we can solve for x.Simplifying ExpressionAs you can guess, an expression does not have an equal sign in it. Some rough examples are:something something1 + p - 103x - 10 - x(1+y)So now, the best we can do with an expression is to simplify it. Let"s take a look at the question again: 2(3x-1)-x+7Yes!...this is an "expression" because no equal sign in it and it is possible to simplify it.Let"s start...Now, notice the brackets in 2(3x -1)? We need to remove these brackets first before we can simplify: 2(3x -1) = 2(3x) -2 = 6x -2Now, with 2(3x-1)= 6x- 2, the expression becomes: 2(3x-1) -x +7 = 6x - 2 -x +7 = 6x -x -2 +7 = 5x + 5We can no longer able to simplify 5x + 5. The answer is 5x + 5.Math lessons that are helpful to understand this better:




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Comments for Difference between an equation and an expression

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Apr 04, 2018 Rating
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Amazing Explanation NEW by: Anonymous Thank you! It helped me a lot on my test!

Jan 01, 2016 Rating
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Expression vs equation NEW by: Anonymous May I call the expression as an incomplete equation with a fracture of right side leg?

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