Let's solve the equation step-by-step:

Given equation:
\[
X - 8X - 4 + 7 = 18 + 3X + 5
\]

### Step 1: Combine like terms on both sides

First, let's combine the like terms on each side of the equation.

On the left side:
\[
X - 8X - 4 + 7 = (1X - 8X) + (-4 + 7) = -7X + 3
\]

On the right side:
\[
18 + 3X + 5 = 23 + 3X
\]

Now the equation looks like this:
\[
-7X + 3 = 23 + 3X
\]

### Step 2: Move the variable terms to one side

Let's add \(7X\) to both sides to move all the terms with \(X\) to one side:

\[
-7X + 7X + 3 = 23 + 3X + 7X
\]

Simplify:
\[
3 = 23 + 10X
\]

### Step 3: Isolate the variable

Subtract 23 from both sides to isolate the term with \(X\):

\[
3 - 23 = 10X
\]

Simplify:
\[
-20 = 10X
\]

### Step 4: Solve for \(X\)

Divide both sides by 10 to solve for \(X\):

\[
X = \frac{-20}{10} = -2
\]

### Solution

The solution to the equation is:
\[
\boxed{X = -2}
\]

Would you like more details or have any questions?

Here are some related questions you might find useful:

1. How do you solve equations with variables on both sides?
2. What are like terms, and how do you combine them?
3. How do you handle negative coefficients in equations?
4. What are some common mistakes to avoid when solving linear equations?
5. How do you solve multi-step equations involving parentheses and distribution?

**Tip:** Always double-check your work by substituting the solution back into the original equation to ensure it satisfies both sides.

Learn how to solve the linear equation X-8X-4+7 = 18 +3X+5 step-by-step with a detailed solution. This problem covers equations, combining like terms, isolating variables, and key concepts in solving linear equations. Suitable for students in Grades 7-9.

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