Math Problem Statement

5x-2=3x+4

Solution

To solve the equation 5x2=3x+45x - 2 = 3x + 4, we can isolate xx by following these steps:

  1. Subtract 3x3x from both sides: 5x3x2=45x - 3x - 2 = 4 which simplifies to 2x2=42x - 2 = 4

  2. Add 2 to both sides: 2x=62x = 6

  3. Divide by 2: x=3x = 3

So, the solution is x=3x = 3.

Would you like further details on the steps, or have any other questions?


  1. How can you verify the solution to an equation?
  2. What are common techniques for solving linear equations?
  3. How would this process change if it were a quadratic equation?
  4. What happens when there is no solution to a linear equation?
  5. How can you interpret the solution graphically?

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

Isolating variables by addition/subtraction and division

Theorems

Basic properties of equality

Suitable Grade Level

Grades 7-8