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Ricardo wrote 2x-3-(x+1), while Francine wrote -3+2x-(x+1). Francine states that their expressions are equivalent. Is Francine's conclusions true or false? Use algebraic properties to justify your conclusion

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Answer:

The result is TRUE

Step-by-step explanation:

Simplify the following:  (left)

2 x - 3 - (x + 1)

-(x + 1) = -x - 1:

2 x - 3 + -x - 1

Grouping like terms, 2 x - 3 - 1 - x = (2 x - x) + (-3 - 1):

(2 x - x) + (-3 - 1)

2 x - x = x:

x + (-3 - 1)

-3 - 1 = -(3 + 1):

x + -(3 + 1)

3 + 1 = 4:

Answer:  x - 4

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Simplify the following:  (right)

3 + 2 x - (x + 1)

-(x + 1) = -x - 1:

-3 + 2 x + -x - 1

Grouping like terms, -3 + 2 x - 1 - x = (2 x - x) + (-3 - 1):

(2 x - x) + (-3 - 1)

2 x - x = x:

x + (-3 - 1)

-3 - 1 = -(3 + 1):

x + -(3 + 1)

3 + 1 = 4:

Answer: x - 4

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