Math Problem Statement

3x+12=48

Solution

To solve the equation 3x+12=483x + 12 = 48:

  1. Subtract 12 from both sides: 3x+1212=48123x + 12 - 12 = 48 - 12 3x=363x = 36

  2. Divide both sides by 3: 3x3=363\frac{3x}{3} = \frac{36}{3} x=12x = 12

So, the solution is x=12x = 12.

Would you like more details or have any questions?

Here are five related questions to expand on this:

  1. How do you solve equations with variables on both sides?
  2. What is the process for solving multi-step equations?
  3. How do you verify the solution of an equation?
  4. What is the distributive property, and when do you use it?
  5. How can solving linear equations help in real-life situations?

Tip: Always check your solution by plugging it back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Basic equation manipulation: 3x = 36, x = 36 / 3

Theorems

Addition Property of Equality
Division Property of Equality

Suitable Grade Level

Grades 6-8