(2x-5)=x+6 and after finding x please substitute

Let's solve the equation \( (2x - 5) = x + 6 \).

### Step 1: Simplify the equation
We start by isolating \(x\) on one side of the equation.

\[
2x - 5 = x + 6
\]

### Step 2: Subtract \(x\) from both sides
\[
2x - x - 5 = 6
\]

This simplifies to:

\[
x - 5 = 6
\]

### Step 3: Add 5 to both sides
\[
x = 6 + 5
\]

\[
x = 11
\]

### Step 4: Substitute \(x = 11\) into the original equation
Substitute \(x = 11\) back into \( (2x - 5) = x + 6 \):

#### Left side:
\[
2(11) - 5 = 22 - 5 = 17
\]

#### Right side:
\[
11 + 6 = 17
\]

Both sides are equal, so \(x = 11\) is the correct solution.

Would you like more details or have any questions?

---

Here are 5 related questions:
1. How would the solution change if the equation were \( (3x - 4) = x + 8 \)?
2. What happens if we subtract instead of adding 5 in step 3?
3. How can we verify a solution algebraically for any similar equation?
4. What if the variable appears on both sides with different powers, such as \(2x^2 - 5 = x + 6\)?
5. How would you solve \( (2x - 5) = 0 \)?

**Tip**: Always check your solution by substituting it back into the original equation to verify both sides are equal.

(2x - 5) = x + 6 and after finding x please substitute

Learn how to solve the linear equation (2x - 5) = x + 6 with a detailed step-by-step guide. This example demonstrates key algebraic concepts like isolating variables and substituting the solution back into the original equation. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation