Math Problem Statement

2x+3=3x-4

Solution

To solve the equation 2x+3=3x42x + 3 = 3x - 4, follow these steps:

  1. Subtract 2x2x from both sides to get all the xx-terms on one side: 2x+32x=3x42x2x + 3 - 2x = 3x - 4 - 2x Simplifying this gives: 3=x43 = x - 4

  2. Add 4 to both sides to isolate xx: 3+4=x4+43 + 4 = x - 4 + 4 Simplifying this gives: x=7x = 7

So, the solution to the equation is x=7x = 7.

Would you like more details on the solution process or have any questions? Here are five related questions you might consider:

  1. How would you solve the equation 4x+5=6x94x + 5 = 6x - 9?
  2. What happens if you have an equation with variables on both sides but no solution?
  3. How can you check if your solution to an equation is correct?
  4. What are the steps to solve an equation with fractions?
  5. Can you solve the equation 5x2=3x+85x - 2 = 3x + 8?

Tip: Always check your solution by substituting it back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation operations

Theorems

Addition property of equality
Subtraction property of equality

Suitable Grade Level

Grades 6-8