Math Problem Statement

solve for x

Solve for x: 2x + 4 = 3x - 10

Solution

The problem involves two expressions, and it seems like you're working with a pair of linear equations involving x:

2x+4=3x102x + 4 = 3x - 10

Let's solve for xx.

Step 1: Simplify the equation

We need to isolate xx on one side of the equation. Start by subtracting 2x2x from both sides:

4=x104 = x - 10

Step 2: Add 10 to both sides

Now, add 10 to both sides to isolate xx:

4+10=x4 + 10 = x

x=14x = 14

Final Answer:

x=14x = 14

Let me know if you'd like any further explanations or assistance!


Related Questions:

  1. How do we solve a system of two equations involving x?
  2. What steps should you follow if you encounter fractions in an equation?
  3. How can we check our solution is correct for this type of equation?
  4. What happens if we swap the coefficients in this equation?
  5. Can this approach be applied to solve inequalities?

Tip:

Always check your solution by substituting it back into the original equation to confirm that both sides are equal!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Basic Algebra

Formulas

Equation simplification: ax + b = cx + d

Theorems

Properties of equality: Addition and Subtraction

Suitable Grade Level

Grades 6-8