Solve for X: 3.8 + 15x - 14 = 14x + 9x + 3.4

To solve the linear equation $3.8 + 15x - 14 = 14x + 9x + 3.4$, follow these steps:

• Step 1: Simplify both sides of the equation by combining like terms.
  On the left side, combine the constant terms: $3.8 - 14 = -10.2$, resulting in $-10.2 + 15x$.
  On the right side, combine the terms involving $x$: $14x + 9x = 23x$, leading to $23x + 3.4$.
• Step 2: Rewrite the simplified equation:
  $-10.2 + 15x = 23x + 3.4$.
• Step 3: Isolate the variable $x$:
  Subtract $15x$ from both sides to get:
  $-10.2 = 23x - 15x + 3.4$
  Which simplifies to:
  $-10.2 = 8x + 3.4$.
• Step 4: Move the constant term to the other side:
  Subtract $3.4$ from both sides:
  $-10.2 - 3.4 = 8x$
  Simplify the left side:
  $-13.6 = 8x$.
• Step 5: Solve for $x$ by dividing both sides by 8:
  $x = \frac{-13.6}{8} = -1.7$.

Therefore, the solution to the equation is $x = -1.7$.