How do you solve the equation 3x + 5 = 20?

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 solve the equation (3x + 5 = 20), you start by isolating the variable (x). This is accomplished through a series of logical steps.

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

[

3x + 5 - 5 = 20 - 5

]

This simplifies to:

[

3x = 15

]

Next, to solve for (x), divide both sides of the equation by 3:

[

\frac{3x}{3} = \frac{15}{3}

]

Which results in:

[

x = 5

]

Thus, the solution to the equation (3x + 5 = 20) is (x = 5). This confirms that the answer provided aligns with the correct computations and reasoning leading to the isolation of (x).

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