Math Problem Statement

Solve the following: 2x -5 =8

Solution

To solve the equation 2x5=82x - 5 = 8, we need to isolate the variable xx. Here's the step-by-step solution:

  1. Start with the equation: 2x5=82x - 5 = 8

  2. Add 5 to both sides to eliminate the 5-5 on the left: 2x5+5=8+52x - 5 + 5 = 8 + 5 Simplifying this, we get: 2x=132x = 13

  3. Divide both sides by 2 to solve for xx: x=132x = \frac{13}{2} Simplifying, we find: x=6.5x = 6.5

So, the solution is x=6.5x = 6.5.

Would you like any more details on this solution, or do you have any questions?

Here are some related questions that you might find helpful:

  1. How do you solve an equation with variables on both sides?
  2. What are the steps to isolate a variable in an equation?
  3. How can you check if your solution to an equation is correct?
  4. What are some examples of equations that require multiple steps to solve?
  5. How do you solve equations that involve fractions?

Tip: When solving equations, always perform the same operation on both sides to maintain the balance of the equation.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Solving Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9