What is the solution for x in the equation 2x + 3 = 11?

What is the solution for x in the equation 2x + 3 = 11?

• A. x = 3
• B. x = 4
• C. x = 5
• D. x = 8

Answer: (B)

To find the solution for x in the equation 2x + 3 = 11, we start by isolating the variable x on one side of the equation. First, we subtract 3 from both sides of the equation to eliminate the constant term on the left side. This gives us: 2x + 3 - 3 = 11 - 3, which simplifies to 2x = 8. Next, to solve for x, we need to get rid of the coefficient 2 that is multiplying x. We do this by dividing both sides of the equation by 2: 2x / 2 = 8 / 2. This simplifies to x = 4. Thus, the calculation shows that x equals 4, confirming the correctness of this choice. The solution process demonstrates an important algebraic principle in manipulating linear equations to isolate the variable.

To find the solution for x in the equation 2x + 3 = 11, we start by isolating the variable x on one side of the equation.

First, we subtract 3 from both sides of the equation to eliminate the constant term on the left side. This gives us:

2x + 3 - 3 = 11 - 3, which simplifies to 2x = 8.

Next, to solve for x, we need to get rid of the coefficient 2 that is multiplying x. We do this by dividing both sides of the equation by 2:

2x / 2 = 8 / 2.

This simplifies to x = 4.

Thus, the calculation shows that x equals 4, confirming the correctness of this choice. The solution process demonstrates an important algebraic principle in manipulating linear equations to isolate the variable.