Math Problem Statement

Solve2x+1=5

Solution

To solve the equation 2x+1=52x + 1 = 5, we’ll isolate xx by performing the following steps:

Step-by-Step Solution:

  1. Subtract 1 from both sides: 2x+11=512x + 1 - 1 = 5 - 1 2x=42x = 4

  2. Divide both sides by 2: 2x2=42\frac{2x}{2} = \frac{4}{2} x=2x = 2

Final Answer:

x=2x = 2

Would you like further details or have any questions about this solution?

Here are some related questions to explore:

  1. How would you solve 3x+2=113x + 2 = 11?
  2. What steps would change if we had 2x1=52x - 1 = 5 instead?
  3. How can you check the solution to an equation like this?
  4. What if the equation was 2x+1=02x + 1 = 0; what would xx be?
  5. How does adding a constant term affect solving a linear equation?

Tip: When solving linear equations, aim to isolate the variable step-by-step using inverse operations (addition/subtraction, multiplication/division).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation in the form ax + b = c

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8