Solve the Algebraic Equation: 5 + 3 + x + 2x + 1 = 0

Let's solve the equation step by step:

• First, we identify the terms in the equation: $5$, $3$, $x$, $2x$, and $1$.
• Combine like terms on the left side of the equation:
• The constant terms: $5 + 3 + 1 = 9$.
• The terms with $x$: $x + 2x = 3x$.
• Substitute back into the equation to get $9 + 3x = 0$.
• Isolate the term containing $x$ by subtracting 9 from both sides: $3x = -9$.
• Solve for $x$ by dividing both sides by 3: $x = \frac{-9}{3}$.
• Simplify the fraction: $x = -3$.

Therefore, the solution to the equation is $x = -3$.