Math Problem Statement

a 4 step equation that equals to 6

Solution

Here is an example of a 4-step equation that equals 6:

  1. Equation: 2x3+4=62x - 3 + 4 = 6

Step-by-step solution:

  1. Step 1: Start with the equation:
    2x3+4=62x - 3 + 4 = 6

  2. Step 2: Simplify the left-hand side:
    2x+1=62x + 1 = 6

  3. Step 3: Subtract 1 from both sides:
    2x=52x = 5

  4. Step 4: Divide both sides by 2:
    x=52x = \frac{5}{2}

Thus, the solution to the equation is x=52x = \frac{5}{2}.

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Related Questions

  1. How do you solve multi-step equations with fractions?
  2. Can you create a 5-step equation that equals 8?
  3. What are the common mistakes in solving multi-step equations?
  4. How do you check if your solution to an equation is correct?
  5. What are some real-life applications of multi-step equations?

Tip

When solving multi-step equations, always perform inverse operations in the reverse order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Multi-Step Equations

Formulas

Linear equation formula ax + b = c

Theorems

Basic equation solving
Inverse operations principle

Suitable Grade Level

Grades 6-8