Solve for X: Linear Equation with 3.6x and 7.4x + 6.4x Terms

To solve the equation $3.6x + 47 - 58 = 7.4x + 6.4x + 5$, we will follow a step-by-step approach:

• Step 1: Simplify each side of the equation.
  On the left-hand side, combine constants: $47 - 58 = -11$. So, the left-hand side simplifies to $3.6x - 11$.
  On the right-hand side, combine like terms for $x$: $7.4x + 6.4x = 13.8x$. So, the right-hand side simplifies to $13.8x + 5$.
• Step 2: Setup the equation with combined terms.
  The equation is now $3.6x - 11 = 13.8x + 5$.
• Step 3: Move terms to isolate $x$.
  Subtract $3.6x$ from both sides to get: $-11 = 13.8x - 3.6x + 5$.
  This simplifies to: $-11 = 10.2x + 5$.
• Step 4: Isolate the variable term.
  Subtract 5 from both sides: $-11 - 5 = 10.2x$.
  This gives $-16 = 10.2x$.
• Step 5: Solve for $x$.
  Divide both sides by 10.2 to find $x$. This results in $x = \frac{-16}{10.2} \approx -1.56$.

Therefore, the solution to the equation is $x = -1.56$.