Math Problem Statement

How do you solve 2x-5=x+7

Solution

To solve the equation 2x5=x+72x - 5 = x + 7, follow these steps:

  1. Move all terms involving xx to one side of the equation: Subtract xx from both sides: 2x5x=x+7x2x - 5 - x = x + 7 - x Simplifying both sides gives: x5=7x - 5 = 7

  2. Isolate the variable xx: Add 5 to both sides to remove the constant on the left: x5+5=7+5x - 5 + 5 = 7 + 5 Simplifying: x=12x = 12

The solution is x=12x = 12.

Would you like a deeper explanation, or do you have any questions about this process?

Here are 5 related questions for practice:

  1. Solve 3x+4=2x+103x + 4 = 2x + 10.
  2. Solve 5x8=3x+45x - 8 = 3x + 4.
  3. Solve 4x+7=2x14x + 7 = 2x - 1.
  4. Solve 6x3=4x+96x - 3 = 4x + 9.
  5. Solve 7x+2=5x+147x + 2 = 5x + 14.

Tip: Always combine like terms first to simplify equations before isolating the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic equation solving: moving terms across the equal sign, isolating variables

Theorems

Equality properties: addition and subtraction properties of equality

Suitable Grade Level

Grades 6-8