Math Problem Statement

3x-5=4

Solution

To solve the equation 3x5=43x - 5 = 4, follow these steps:

  1. Add 5 to both sides to eliminate the constant on the left: 3x5+5=4+53x - 5 + 5 = 4 + 5 3x=93x = 9

  2. Divide both sides by 3 to solve for xx: 3x3=93\frac{3x}{3} = \frac{9}{3} x=3x = 3

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

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. What happens if you change the equation to 3x5=103x - 5 = 10?
  2. How would you solve 5x7=185x - 7 = 18?
  3. What would the solution be for 4x+3=194x + 3 = 19?
  4. Can you solve 2x9=02x - 9 = 0?
  5. How do you solve for xx in the equation 6x+4=166x + 4 = 16?

Tip: Always perform inverse operations (like adding or subtracting) to move constants from one side of the equation to the other.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation manipulation: ax + b = c

Theorems

Inverse operations theorem (addition/subtraction, multiplication/division)

Suitable Grade Level

Grades 6-8