What is the solution to the equation \( 2x + 5 = 15 \)?

What is the solution to the equation \( 2x + 5 = 15 \)?

• A. 2
• B. 5
• C. 7
• D. 10

Answer: (C)

To solve the equation \( 2x + 5 = 15 \), we start by isolating the variable \( x \). First, we need to eliminate the constant term on the left side of the equation. We can do this by subtracting 5 from both sides: \[ 2x + 5 - 5 = 15 - 5 \] This simplifies to: \[ 2x = 10 \] Next, to isolate \( x \), we need to divide both sides of the equation by 2: \[ \frac{2x}{2} = \frac{10}{2} \] This results in: \[ x = 5 \] Thus, the solution to the equation is \( x = 5 \). Therefore, the correct answer reflects this solution. This systematic approach of isolating the variable demonstrates the steps involved in solving a linear equation, making it essential to follow such practices in solving similar problems.

To solve the equation ( 2x + 5 = 15 ), we start by isolating the variable ( x ). First, we need to eliminate the constant term on the left side of the equation. We can do this by subtracting 5 from both sides:

[

2x + 5 - 5 = 15 - 5

]

This simplifies to:

[

2x = 10

]

Next, to isolate ( x ), we need to divide both sides of the equation by 2:

[

\frac{2x}{2} = \frac{10}{2}

]

This results in:

[

x = 5

]

Thus, the solution to the equation is ( x = 5 ). Therefore, the correct answer reflects this solution. This systematic approach of isolating the variable demonstrates the steps involved in solving a linear equation, making it essential to follow such practices in solving similar problems.