Math Problem Statement

6x-5=19

Solution

To solve the equation 6x5=196x - 5 = 19:

  1. Add 5 to both sides to isolate the term with xx: 6x5+5=19+56x - 5 + 5 = 19 + 5 6x=246x = 24

  2. Divide both sides by 6 to solve for xx: x=246x = \frac{24}{6} x=4x = 4

So, the solution is x=4x = 4.

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Here are five related questions:

  1. What is the solution to 3x+7=223x + 7 = 22?
  2. How would you solve 8x12=288x - 12 = 28?
  3. What happens if we solve 5x+3=185x + 3 = 18?
  4. How do you solve 9x14=329x - 14 = 32?
  5. What is the next step in solving 7x8=207x - 8 = 20?

Tip: Always perform inverse operations (addition ↔ subtraction, multiplication ↔ division) to isolate the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Basic Operations

Formulas

Linear equation in the form ax + b = c

Theorems

Basic principles of algebra, such as inverse operations

Suitable Grade Level

Grades 6-8