Solve for X: Linear Equation 7.5x + 9.3x - 1.4x = 10 + 3 - 8

Let's solve the equation step by step:

• Step 1: Combine like terms on the left-hand side:
  $7.5x + 9.3x - 8 = (7.5 + 9.3)x - 8 = 16.8x - 8$
• Step 2: Combine like terms on the right-hand side:
  $10 + 3 - 1.4x = 13 - 1.4x$
• Step 3: Write the simplified equation:
  $16.8x - 8 = 13 - 1.4x$
• Step 4: Move all terms involving $x$ to one side and constant terms to the other side:
  Add $1.4x$ to both sides:
  $16.8x + 1.4x - 8 = 13$
  This simplifies to:
  $18.2x - 8 = 13$
• Step 5: Move the constant term to the other side:
  Add 8 to both sides:
  $18.2x = 21$
• Step 6: Solve for $x$ by dividing both sides by 18.2:
  $x = \frac{21}{18.2}$
• Step 7: Calculate $\frac{21}{18.2}$:
  $x \approx 1.15$

Therefore, the solution to the equation is $x = 1.15$.