Simplify: $ 3x + 3 = 45 $.

February 22, 2026

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.

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 $

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 $

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.

Practice Problem

Try solving: $ 3x + 3 = 45 $. Use the steps above to find $ x $, and verify your answer.

Summary

Start by removing constants (subtract 3): $ 3x = 42 $
Divide by 3: $ x = 14 $
Always check your solution
Mastering this supports deeper math skills

Keywords for SEO: solve 3x + 3 = 45, simplify algebraic equation, step-by-step math solving, algebra tutorial, solve for x, step-by-step equation solver, math explanation, elementary algebra, single variable equation.

By simplifying the process and clearly explaining each step, understanding how to solve $ 3x + 3 = 45 $ becomes easy and empowering! Whether you're learning algebra for school or personal growth, mastering such equations builds confidence and clarity.