Math Problem Statement

Solve for x: 2x + 5 = 13

Solution

To solve the equation 2x+5=132x + 5 = 13, follow these steps:

  1. Subtract 5 from both sides to isolate the term with xx: 2x=1352x = 13 - 5 2x=82x = 8

  2. Divide both sides by 2 to solve for xx: x=82x = \frac{8}{2} x=4x = 4

So, the solution is x=4x = 4.

Would you like more details on this process or have any questions?

Here are 5 related questions to expand your understanding:

  1. How would you solve 3x+7=163x + 7 = 16?
  2. What happens if you need to solve 2x5=132x - 5 = 13?
  3. How would the solution change if the equation were 4x+5=134x + 5 = 13?
  4. What if the equation had a fraction, like 32x+5=13\frac{3}{2}x + 5 = 13?
  5. How can you check if your solution to 2x+5=132x + 5 = 13 is correct?

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

Solving linear equations: ax + b = c

Theorems

Equality Property of Equations

Suitable Grade Level

Grades 6-8