Solve for X in 3x - 18 + 2x = 32: Linear Equation Practice

To solve the equation $3x - 18 + 2x = 32$, we begin by simplifying the left side:

• Step 1: Combine like terms for the variable $x$:
  The terms involving $x$ are $3x$ and $2x$. Combining them gives $5x$. So the equation becomes $5x - 18 = 32$.
• Step 2: Isolate the term with the variable:
  Add 18 to both sides of the equation to move the constant term to the right side:
  $5x - 18 + 18 = 32 + 18$
  This simplifies to $5x = 50$.
• Step 3: Solve for $x$:
  To isolate $x$, divide both sides by 5:
  $\frac{5x}{5} = \frac{50}{5}$
  This simplifies to $x = 10$.

Therefore, the solution to the equation is $\mathbf{x = 10}$.