Math Problem Statement

I need help

Solve for x: (x/2) - 1 = 3

Solution

The equation provided in the image is:

x21=3\frac{x}{2} - 1 = 3

Steps to solve for xx:

  1. Add 1 to both sides of the equation: x2=3+1\frac{x}{2} = 3 + 1 x2=4\frac{x}{2} = 4

  2. Multiply both sides by 2 to isolate xx: x=4×2x = 4 \times 2 x=8x = 8

Final Answer:

x=8x = 8

Do you need a detailed explanation or further questions on this? Here are 5 related questions for deeper understanding:

  1. What happens if you subtract instead of add 1 in the first step?
  2. How do you handle fractions in equations generally?
  3. Can you verify the solution by substituting x=8x = 8 back into the original equation?
  4. What would happen if the fraction denominator were not 2 but another number?
  5. How does this type of problem change if xx is in the numerator and denominator?

Tip: Always isolate the variable by performing the reverse of operations applied to it.

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Math Problem Analysis

Mathematical Concepts

Basic Algebra
Linear Equations

Formulas

Equation solving: Reverse operations to isolate the variable

Theorems

Basic properties of equality

Suitable Grade Level

Grade 6-8