Solve Linear Equation: 4x - 6.9 = 2.2x + 5

To solve this problem, follow these steps:

• Step 1: Identify the equation and its components. The equation is $4x - 6.9 = 2.2x + 5$.
• Step 2: Move the terms involving $x$ to one side of the equation. Subtract $2.2x$ from both sides:
  $4x - 2.2x - 6.9 = 5$.
• Step 3: Combine like terms on the left side:
  $1.8x - 6.9 = 5$.
• Step 4: Move constant terms to the other side by adding $6.9$ to both sides:
  $1.8x = 5 + 6.9$.
• Step 5: Simplify the equation on the right side:
  $1.8x = 11.9$.
• Step 6: Solve for $x$ by dividing both sides by $1.8$:
  $x = \frac{11.9}{1.8}$.
• Step 7: Simplify the fraction if possible:
  Converting $\frac{11.9}{1.8}$ to a mixed number, $x = 6\frac{11}{18}$.

Therefore, the solution to the equation is $x = 6\frac{11}{18}$.