Math Problem Statement

x/2+1=5

Solution

Let's solve the equation:

x2+1=5\frac{x}{2} + 1 = 5

  1. Subtract 1 from both sides:

x2=51\frac{x}{2} = 5 - 1 x2=4\frac{x}{2} = 4

  1. Multiply both sides of the equation by 2 to isolate xx:

x=4×2x = 4 \times 2 x=8x = 8

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

Would you like more details or have any questions about this solution?

Here are some related questions:

  1. How do you solve equations with fractions like x3+2=7\frac{x}{3} + 2 = 7?
  2. What happens if the equation had x21=5\frac{x}{2} - 1 = 5 instead?
  3. How can you check if x=8x = 8 is the correct solution?
  4. What is the inverse operation of adding 1 to an equation?
  5. How do you solve an equation with a negative term like x3+4=2\frac{x}{3} + 4 = -2?

Tip: When you have a fraction in an equation, multiplying both sides by the denominator helps eliminate the fraction quickly.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

x/2 + b = c
x = 2 * c

Theorems

Inverse operations in algebra

Suitable Grade Level

Grades 6-8