Math Problem Statement

2x - 4 = x - 10

Solution

To solve the equation 2x4=x102x - 4 = x - 10, we follow these steps:

Step 1: Move all terms involving xx to one side.

Subtract xx from both sides:

2xx4=xx102x - x - 4 = x - x - 10

Simplifying:

x4=10x - 4 = -10

Step 2: Move the constant term to the other side.

Add 4 to both sides:

x4+4=10+4x - 4 + 4 = -10 + 4

Simplifying:

x=6x = -6

Final Answer:

The solution is x=6x = -6.

Would you like more details or have any questions about the steps?


Here are 5 related questions you might find interesting:

  1. How do you solve 3x+5=2x73x + 5 = 2x - 7?
  2. What happens if there are no solutions to a linear equation?
  3. Can you solve 4x9=3x+64x - 9 = 3x + 6?
  4. How do you verify the solution of a linear equation?
  5. What if both sides of the equation had fractions like x23=54\frac{x}{2} - 3 = \frac{5}{4}?

Tip: Always isolate the variable step by step, combining like terms and moving constants to one side.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation manipulation

Theorems

Transposition
Equality property of equations

Suitable Grade Level

Grades 6-8