Math Problem Statement

14 substract from twice a number given 4

Solution

Let's define the unknown number as xx.

The phrase "twice a number" means 2x2x.

Now, you are asked to subtract 14 from twice that number, which gives 4. This gives the equation:

2x14=42x - 14 = 4

Solving for xx:

  1. Add 14 to both sides to isolate the term involving xx:

2x=4+142x = 4 + 14 2x=182x = 18

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

x=182=9x = \frac{18}{2} = 9

So, the number is x=9x = 9.

Do you need more details or have any questions?

Here are 5 related questions:

  1. What happens if you subtract 14 from three times a number instead?
  2. How would you solve 2x14=102x - 14 = 10 instead of 4?
  3. What if the equation was 3x14=43x - 14 = 4? How does the solution change?
  4. How do you solve 2x+14=42x + 14 = 4?
  5. Can you form a similar equation if the result was 6 instead of 4?

Tip: Always isolate the variable by using basic arithmetic operations step-by-step!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

2x - 14 = 4

Theorems

Basic algebraic principles for solving linear equations

Suitable Grade Level

Grades 6-8