Math Problem Statement

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

Solution

The equation from the image is:

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

Let's solve for xx:

  1. Start by adding 1 to both sides to eliminate the constant on the left: x2=3+1\frac{x}{2} = 3 + 1 x2=4\frac{x}{2} = 4

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

So, the solution is x=8x = 8.

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

Here are five related questions to explore:

  1. What if the equation was x31=3\frac{x}{3} - 1 = 3?
  2. How would you solve x2+5=10\frac{x}{2} + 5 = 10?
  3. How does solving an equation with fractions differ from whole numbers?
  4. How can you check if your solution is correct?
  5. What if the equation involved a negative fraction, such as x21=3\frac{-x}{2} - 1 = 3?

Tip: When solving equations with fractions, it's often useful to eliminate the fraction early by multiplying through by the denominator.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

Basic equation solving: isolate the variable

Theorems

Addition Property of Equality
Multiplication Property of Equality

Suitable Grade Level

Grades 6-8