Math Problem Statement

2x -1 = 6

Solution

To solve the equation 2x1=62x - 1 = 6, follow these steps:

  1. Add 1 to both sides to isolate the term with xx: 2x1+1=6+12x - 1 + 1 = 6 + 1 Simplifying: 2x=72x = 7

  2. Divide both sides by 2 to solve for xx: 2x2=72\frac{2x}{2} = \frac{7}{2} Simplifying: x=72=3.5x = \frac{7}{2} = 3.5

So, the solution is: x=3.5x = 3.5

Let me know if you need further clarification or more examples!


Related Questions:

  1. How do you solve equations with fractions, like 12x3=4\frac{1}{2}x - 3 = 4?
  2. What happens if there’s a negative coefficient in front of xx, such as 2x+5=9-2x + 5 = 9?
  3. How do you solve equations involving absolute value, such as x3=5|x - 3| = 5?
  4. What steps should be followed if an equation has variables on both sides, like 3x+2=5x43x + 2 = 5x - 4?
  5. How do you check the solution of an equation to make sure it's correct?

Tip:

When solving for xx, always isolate the variable on one side before performing operations like division or multiplication to avoid making mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Solving linear equations: ax + b = c

Theorems

Basic algebraic manipulation (addition, subtraction, division)

Suitable Grade Level

Grades 6-8