Math Problem Statement

2x+5=3x+4

Solution

Let's solve the equation step by step:

2x+5=3x+42x + 5 = 3x + 4

Step 1: Get all the xx-terms on one side.

Subtract 2x2x from both sides:

2x+52x=3x+42x2x + 5 - 2x = 3x + 4 - 2x

This simplifies to:

5=x+45 = x + 4

Step 2: Isolate xx.

Subtract 4 from both sides:

54=x+445 - 4 = x + 4 - 4

This simplifies to:

1=x1 = x

So, the solution is:

x=1x = 1

Final Answer: x=1x = 1


Would you like further details on this solution? Let me know if you have any questions!

Here are 5 related questions for you:

  1. How do you solve an equation where the variable is on both sides?
  2. What happens if you have fractional or decimal coefficients in an equation?
  3. How do you solve a system of linear equations?
  4. What are the methods to solve quadratic equations?
  5. How do you check the solution to an equation?

Tip: When solving linear equations, always aim to get the variable on one side and constants on the other.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic properties of linear equations

Theorems

Transposition of terms
Isolating the variable

Suitable Grade Level

Grades 7-9