Solve the equation 2x + 5 = 15 for x. What is the value of x?

Solve the equation 2x + 5 = 15 for x. What is the value of x?

• A. 2
• B. 3
• C. 5
• D. 10

Answer: (C)

To solve the equation \( 2x + 5 = 15 \) for \( x \), start by isolating the term containing \( x \). First, subtract 5 from both sides of the equation to eliminate the constant on the left: \[ 2x + 5 - 5 = 15 - 5 \] This simplifies to: \[ 2x = 10 \] Next, to solve for \( x \), divide both sides of the equation by 2: \[ x = \frac{10}{2} \] This results in: \[ x = 5 \] Thus, the correct answer is 5. This process demonstrates how to effectively isolate a variable and solve a linear equation step-by-step. Understanding how to manipulate equations and perform operations on both sides is fundamental in algebra.

To solve the equation ( 2x + 5 = 15 ) for ( x ), start by isolating the term containing ( x ).

First, subtract 5 from both sides of the equation to eliminate the constant on the left:

[

2x + 5 - 5 = 15 - 5

]

This simplifies to:

[

2x = 10

]

Next, to solve for ( x ), divide both sides of the equation by 2:

[

x = \frac{10}{2}

]

This results in:

[

x = 5

]

Thus, the correct answer is 5.

This process demonstrates how to effectively isolate a variable and solve a linear equation step-by-step. Understanding how to manipulate equations and perform operations on both sides is fundamental in algebra.