Let's solve the equation \( 5x + 29 = 2(x - 4) \).

### Step 1: Expand the right-hand side
Distribute the \( 2 \) on the right-hand side:
\[
5x + 29 = 2x - 8
\]

### Step 2: Move like terms to one side
Now, subtract \( 2x \) from both sides to bring all the \( x \)-terms to the left:
\[
5x - 2x + 29 = -8
\]
This simplifies to:
\[
3x + 29 = -8
\]

### Step 3: Isolate the variable
Subtract 29 from both sides:
\[
3x = -8 - 29
\]
Simplifying the right-hand side:
\[
3x = -37
\]

### Step 4: Solve for \( x \)
Divide both sides by 3:
\[
x = \frac{-37}{3}
\]

Thus, the solution is:
\[
x = \frac{-37}{3}
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Solve \( 4x + 12 = 3(x + 5) \).
2. Solve \( 7x + 15 = 4(x - 3) \).
3. Solve \( 6x + 21 = 3(x + 7) \).
4. Solve \( 9x + 27 = 5x + 43 \).
5. Solve \( 8x + 16 = 6(x + 2) \).

**Tip:** Always expand and simplify both sides of an equation before isolating the variable.

Learn how to solve the linear equation 5x + 29 = 2(x - 4) with a step-by-step solution. This problem involves expanding, simplifying, and solving for x. Ideal for students in Grades 7-8.

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