Math Problem Statement

2x-3=8

Solution

Let's solve the equation 2x3=82x - 3 = 8.

Step 1: Add 3 to both sides to isolate the term with xx.

2x3+3=8+32x - 3 + 3 = 8 + 3 2x=112x = 11

Step 2: Divide both sides by 2 to solve for xx.

x=112=5.5x = \frac{11}{2} = 5.5

So, the solution is x=5.5x = 5.5.

Would you like more details on any step or have any questions?

Here are some related questions you might consider:

  1. How do you solve a similar equation like 3x4=103x - 4 = 10?
  2. What if the equation had fractions, such as 3x21=7\frac{3x}{2} - 1 = 7?
  3. How do you solve quadratic equations like x2+3x4=0x^2 + 3x - 4 = 0?
  4. How do you graph the equation 2x3=82x - 3 = 8?
  5. Can you explain how to check the solution by substitution?

Tip: Always double-check your solution by substituting it back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

Basic equation-solving: ax + b = c

Theorems

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Suitable Grade Level

Grades 6-8