Math Problem Statement

solve 2x + 3 = 7 and explain the steps

Solution

To solve the equation 2x+3=72x + 3 = 7, follow these steps:

Step 1: Isolate the term with the variable

We want to isolate the term with xx on one side of the equation. To do this, we first eliminate the constant term (the 3 on the left-hand side) by subtracting 3 from both sides of the equation.

2x+33=732x + 3 - 3 = 7 - 3

Simplifying this gives:

2x=42x = 4

Step 2: Solve for xx

Now that we have 2x=42x = 4, we solve for xx by dividing both sides of the equation by 2:

2x2=42\frac{2x}{2} = \frac{4}{2}

Simplifying this gives:

x=2x = 2

Final Answer:

The solution to the equation is x=2x = 2.

Would you like more details or have any questions?


Here are 5 related questions:

  1. How would you solve the equation 3x+5=113x + 5 = 11?
  2. What happens if the equation was 2x3=72x - 3 = 7?
  3. Can you solve 5x+4=195x + 4 = 19 and explain the steps?
  4. What if the equation had a fraction like 32x+2=5\frac{3}{2}x + 2 = 5?
  5. How would you approach solving the equation 4x7=94x - 7 = 9?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation form: ax + b = c

Theorems

Equality Principle

Suitable Grade Level

Grades 6-8