Math Problem Statement

Solve the equation 2x + 2 = 7

Solution

The equation in the image is:

2x+2=72x + 2 = 7

Let's solve it step by step:

Step 1: Subtract 2 from both sides of the equation to isolate the term with xx.

2x+22=722x + 2 - 2 = 7 - 2 2x=52x = 5

Step 2: Divide both sides by 2 to solve for xx.

x=52x = \frac{5}{2} x=2.5x = 2.5

So, the solution is: x=2.5x = 2.5

Do you want any further explanation or details on this process?

Here are 5 follow-up questions you could consider:

  1. How would you solve 3x+4=103x + 4 = 10?
  2. What happens if the equation contains fractions, such as 32x+1=4\frac{3}{2}x + 1 = 4?
  3. How can you check your solution after solving the equation?
  4. What is the graphical interpretation of solving a linear equation like this?
  5. How would the process change if the equation were 2x2=72x - 2 = 7?

Tip: Always remember to check your solution by substituting it back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Basic Algebra

Formulas

Basic linear equation formula: ax + b = c

Theorems

Principle of Equality (Addition and Division)

Suitable Grade Level

Grades 6-8