Understanding the Equation
To solve the equation 2x + 1 = 3, we need to isolate the variable x. This involves performing inverse operations to eliminate the constants and coefficients.
Step 1: Subtract 1 from both sides
- We start with the equation:
- 2x + 1 = 3
- To isolate the term with x, subtract 1 from both sides:
- 2x + 1 - 1 = 3 - 1
- This simplifies to:
- 2x = 2
Step 2: Divide by 2
- Next, we need to solve for x by dividing both sides by 2:
- 2x / 2 = 2 / 2
- This gives us:
- x = 1
Conclusion
- The value of x is:
- x = 1
Verification
- To ensure our solution is correct, we can substitute x back into the original equation:
- 2(1) + 1 = 3
- 2 + 1 = 3
- Since both sides are equal, our solution is validated.
In summary, the solution to the equation 2x + 1 = 3 is x = 1, and we verified it by substituting back into the original equation.