"Solve this algebra equation step-by-step: 2x + 3 = 7."

To solve the algebraic equation \( 2x + 3 = 7 \) step-by-step:

### Step 1: Isolate the term with the variable
Subtract 3 from both sides of the equation to move the constant term to the right side.

\[
2x + 3 - 3 = 7 - 3
\]

This simplifies to:

\[
2x = 4
\]

### Step 2: Solve for the variable
Divide both sides of the equation by 2 to solve for \( x \).

\[
\frac{2x}{2} = \frac{4}{2}
\]

This simplifies to:

\[
x = 2
\]

### Final Answer:
The solution to the equation \( 2x + 3 = 7 \) is \( x = 2 \).

Would you like more details or have any questions?

---

Here are 8 related questions for further practice:

1. Solve the equation \( 3x - 5 = 10 \).
2. What is the solution for \( 4x + 2 = 14 \)?
3. How would you solve \( 5x - 7 = 18 \)?
4. Solve for \( x \) in \( 6x + 9 = 21 \).
5. What is the solution for \( 7x - 4 = 3x + 8 \)?
6. Solve the equation \( 8x + 6 = 2x + 18 \).
7. How would you solve \( 9x - 3 = 24 \)?
8. Solve for \( x \) in \( 10x + 5 = 3x + 12 \).

**Tip:** When solving equations, always perform the same operation on both sides to maintain the equality.

Learn how to solve the algebra equation 2x + 3 = 7 step-by-step with detailed explanations and practice questions. This problem covers fundamental algebraic concepts and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation