Math Problem Statement

4x+8= 8x+16

Solution

To solve the equation 4x+8=8x+164x + 8 = 8x + 16, we can follow these steps:

  1. Subtract 4x4x from both sides: 4x+84x=8x+164x4x + 8 - 4x = 8x + 16 - 4x This simplifies to: 8=4x+168 = 4x + 16

  2. Subtract 16 from both sides: 816=4x+16168 - 16 = 4x + 16 - 16 This simplifies to: 8=4x-8 = 4x

  3. Divide both sides by 4: 84=4x4\frac{-8}{4} = \frac{4x}{4} This simplifies to: x=2x = -2

So, the solution is x=2x = -2.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What would the solution be if the equation was 4x+8=8x+204x + 8 = 8x + 20?
  2. How would the solution change if the equation was 4x+8=8x+84x + 8 = 8x + 8?
  3. Can you solve the equation 3x7=2x+53x - 7 = 2x + 5?
  4. What happens if you add a constant to both sides of the equation 4x+8=8x+164x + 8 = 8x + 16?
  5. How can you check if x=2x = -2 is the correct solution for the equation?

Tip: When solving equations, always aim to isolate the variable on one side to find its value.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Equation solving techniques

Theorems

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Suitable Grade Level

Grades 7-9