Math Problem Statement

Solve for x: 3x − 5 = 2x + 6.

1 −1 11 −11

Solution

To solve the equation 3x5=2x+63x - 5 = 2x + 6, follow these steps:

  1. Subtract 2x2x from both sides of the equation: 3x2x5=63x - 2x - 5 = 6 This simplifies to: x5=6x - 5 = 6

  2. Add 5 to both sides to isolate xx: x=6+5x = 6 + 5 x=11x = 11

So, the solution is x=11x = 11.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you solve 4x7=3x+94x - 7 = 3x + 9?
  2. What is the value of xx in the equation 5x+2=2x35x + 2 = 2x - 3?
  3. How do you solve 7x4=6x+87x - 4 = 6x + 8?
  4. What happens when you have an equation like 2x+5=2x+32x + 5 = 2x + 3?
  5. Can you solve for xx in 10x15=5x+2010x - 15 = 5x + 20?

Tip: Always start by moving all terms involving xx to one side of the equation and the constant terms to the other side.

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Math Problem Analysis

Mathematical Concepts

Equations
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9