Simplify: How to Solve $ 3x + 3 = 45 $ Step by Step

Solving a simple equation like $ 3x + 3 = 45 $ might seem straightforward, but mastering the process helps build strong algebraic foundations. In this article, we’ll break down step-by-step how to solve the equation $ 3x + 3 = 45 $, explain the logic behind each step, and offer practical tips to simplify the learning process — whether you're a student, teacher, or self-learner.

Understanding the Context

What is the Equation $ 3x + 3 = 45 $?

The expression $ 3x + 3 = 45 $ means that when you multiply an unknown number $ x $ by 3, then add 3, the result is 45. Our goal is to find the value of $ x $ that makes this equation true.

Step 1: Isolate the Term with $ x $

Simplify: $ 3x + 3 = 45 $.

Key Insights

Start by subtracting 3 from both sides of the equation to eliminate the constant on the left side. This keeps the equation balanced.

$$
3x + 3 - 3 = 45 - 3
$$
$$
3x = 42
$$

Tip: Always perform the same operation on both sides to maintain equality.

Step 2: Solve for $ x $

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Final Thoughts

Now divide both sides by 3 to isolate $ x $:

$$
rac{3x}{3} = rac{42}{3}
$$
$$
x = 14
$$

Final Answer

$$
x = 14
$$

Check your work: Substitute $ x = 14 $ back into the original equation:
$ 3(14) + 3 = 42 + 3 = 45 $ — correct!

Why Simplifying Equations Matters

Understanding how to simplify expressions and solve equations is essential for academic success in math and related STEM fields. Learning to simplify $ 3x + 3 = 45 $ builds problem-solving skills applicable to complex problems in algebra, calculus, and beyond.