Solve for X: -x + 3(x-4) = 5 - 1/2x Linear Equation

To solve the equation $-x + 3(x-4) = 5 - \frac{1}{2}x$, follow these steps:

• **Step 1**: Distribute the $3$ on the left side:
  $-x + 3x - 12 = 5 - \frac{1}{2}x$.
• **Step 2**: Combine like terms on the left:
  $(2x - 12) = 5 - \frac{1}{2}x$.
• **Step 3**: Add $\frac{1}{2}x$ to both sides to get only the variable terms on one side:
  $2x + \frac{1}{2}x - 12 = 5$.
• **Step 4**: Simplify by combining the $x$ terms:
  $\frac{5}{2}x - 12 = 5$.
• **Step 5**: Add 12 to both sides to isolate terms with $x$:
  $\frac{5}{2}x = 17$.
• **Step 6**: Multiply both sides by $\frac{2}{5}$ to solve for $x$:
  $x = 17 \times \frac{2}{5} = \frac{34}{5}$.

Therefore, the solution to the problem is $x = \frac{34}{5}$.