Simplify the expression: 2(x + 5) - 3.

Simplify the expression: 2(x + 5) - 3.

• A. 2x + 5
• B. 2x + 10
• C. 2x + 7
• D. x + 7

Answer: (C)

To simplify the expression \( 2(x + 5) - 3 \), we start by distributing the 2 to both terms inside the parentheses. This means we multiply 2 by \( x \) and then by 5: \[ 2(x + 5) = 2x + 10 \] Next, we need to subtract 3 from the result of our distribution: \[ 2x + 10 - 3 \] Now, we combine the constants (10 and -3): \[ 10 - 3 = 7 \] Therefore, the expression simplifies to: \[ 2x + 7 \] This shows that the correct simplified form of the original expression is \( 2x + 7 \).

To simplify the expression ( 2(x + 5) - 3 ), we start by distributing the 2 to both terms inside the parentheses. This means we multiply 2 by ( x ) and then by 5:

[

2(x + 5) = 2x + 10

]

Next, we need to subtract 3 from the result of our distribution:

[

2x + 10 - 3

]

Now, we combine the constants (10 and -3):

[

10 - 3 = 7

]

Therefore, the expression simplifies to:

[

2x + 7

]

This shows that the correct simplified form of the original expression is ( 2x + 7 ).