Solve for x in the equation 2x + 3 = 11.

Solve for x in the equation 2x + 3 = 11.

• A. x = 2
• B. x = 3
• C. x = 4
• D. x = 5

Answer: (C)

To solve the equation \(2x + 3 = 11\), the goal is to isolate the variable \(x\). The first step involves eliminating the constant on the left side of the equation. By subtracting 3 from both sides, the equation becomes: \[2x + 3 - 3 = 11 - 3\] This simplifies to: \[2x = 8\] Next, to isolate \(x\), divide both sides of the equation by 2: \[x = \frac{8}{2}\] Calculating this gives: \[x = 4\] This confirms that \(x = 4\) is the solution to the equation. When substituted back into the original equation, \(2(4) + 3\) equals 11, verifying that the solution is correct. Thus, identifying that \(x\) equals 4 is the correct approach to solving the equation.

To solve the equation (2x + 3 = 11), the goal is to isolate the variable (x). The first step involves eliminating the constant on the left side of the equation. By subtracting 3 from both sides, the equation becomes:

[2x + 3 - 3 = 11 - 3]

This simplifies to:

[2x = 8]

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

[x = \frac{8}{2}]

Calculating this gives:

[x = 4]

This confirms that (x = 4) is the solution to the equation. When substituted back into the original equation, (2(4) + 3) equals 11, verifying that the solution is correct. Thus, identifying that (x) equals 4 is the correct approach to solving the equation.