Simplify the expression 5x - 3 + 2x + 8.

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Multiple Choice

Simplify the expression 5x - 3 + 2x + 8.

Explanation:
To simplify the expression 5x - 3 + 2x + 8, start by grouping the like terms together. Like terms include terms that contain the same variable raised to the same power. In this case, the like terms for the variable x are 5x and 2x, and the constant terms are -3 and +8. First, combine the x terms: \[ 5x + 2x = 7x \] Next, combine the constant terms: \[ -3 + 8 = 5 \] Now, put it all together. The simplified expression consists of the combined x terms and the combined constant term: \[ 7x + 5 \] Thus, the correct answer to the problem is 7x + 5. This method of grouping and simplifying step by step is essential for accurately simplifying algebraic expressions.

To simplify the expression 5x - 3 + 2x + 8, start by grouping the like terms together. Like terms include terms that contain the same variable raised to the same power. In this case, the like terms for the variable x are 5x and 2x, and the constant terms are -3 and +8.

First, combine the x terms:

[

5x + 2x = 7x

]

Next, combine the constant terms:

[

-3 + 8 = 5

]

Now, put it all together. The simplified expression consists of the combined x terms and the combined constant term:

[

7x + 5

]

Thus, the correct answer to the problem is 7x + 5. This method of grouping and simplifying step by step is essential for accurately simplifying algebraic expressions.

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