Math Problem Statement

2x-x=7+5

Solution

Let's solve the equation step by step:

Equation: 2xx=7+52x - x = 7 + 5

Step 1: Simplify both sides of the equation.

  • On the left side: 2xx=x2x - x = x.
  • On the right side: 7+5=127 + 5 = 12.

So the equation becomes: x=12x = 12

Final Answer:

x=12x = 12

Would you like further explanation or have any questions about this solution?


Here are 5 related questions to explore:

  1. How do you solve equations involving fractions like 2x3x=4\frac{2x}{3} - x = 4?
  2. What happens if there is more than one variable, like in 3x+4y=103x + 4y = 10?
  3. How do you check your solution after solving an equation?
  4. How do you solve quadratic equations like x25x+6=0x^2 - 5x + 6 = 0?
  5. What is the difference between solving linear equations and solving systems of equations?

Tip: Always simplify both sides of the equation first, and combine like terms before isolating the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Simplification of like terms
Basic equation solving

Theorems

Properties of Equality (Addition and Subtraction)

Suitable Grade Level

Grades 6-8