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

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To find the solution to the equation (2x + 3 = 11), we begin by isolating the variable (x).

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

]

Simplifying the equation results in:

[

2x = 8

]

Next, we divide both sides by 2 to solve for (x):

[

x = \frac{8}{2}

]

This simplifies to:

[

x = 4

]

Thus, the solution to the equation is (x = 4).

This matches the first choice, demonstrating that it is indeed the correct answer. The other values provided do not satisfy the equation when substituted back into it, which confirms that they are not solutions to the equation.

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