Question

1. (2x+5)+(3x-2)=
2. (3x-2)-(2x+5)=
3. (2x+5)-(3x-2=

Answer 1

1. = 5x+3

Explanation:

Answer 2

1. 5x+3
2. x -7
3. -x +7

Explanation:

Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.

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1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3

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2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7

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3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7

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Additional comment

Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.