To solve the equation \( 4x - 5 = 6x + 20 \), follow these steps:

### Step 1: Move all terms with \( x \) to one side of the equation.
\[
4x - 6x = 20 + 5
\]

### Step 2: Simplify both sides.
\[
-2x = 25
\]

### Step 3: Solve for \( x \) by dividing both sides by \(-2\).
\[
x = \frac{25}{-2}
\]
\[
x = -12.5
\]

Thus, the solution is \( x = -12.5 \).

Would you like further details or have any questions? 

Here are 5 related questions to expand your understanding:
1. What happens if you switch the sides of the equation first before simplifying?
2. How do you solve \( 3x + 8 = 5x - 12 \)?
3. What steps would change if the equation was \( 4x - 5 = 6x - 20 \)?
4. How do you check if your solution is correct?
5. How do you solve for \( x \) in \( 4x^2 - 5 = 6x + 20 \)?

**Tip:** Always double-check your answer by plugging it back into the original equation!

Learn how to solve the linear equation 4x - 5 = 6x + 20 with a clear step-by-step guide. This algebraic problem covers essential concepts such as moving terms across the equation and simplifying to solve for x. Perfect for students in Grades 7-9 looking to enhance their algebra skills.

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