Solve for X: 16x-30x+1.5=3.4+0.8+10x Linear Equation

To solve the equation $16x - 30x + 1.5 = 3.4 + 0.8 + 10x$, we follow these steps:

• Simplify both sides by combining like terms.
  On the left side: $16x - 30x = -14x$
  The left side becomes: $-14x + 1.5$
  On the right side: $3.4 + 0.8 = 4.2$
  The right side becomes: $4.2 + 10x$
• Re-arrange the equation to move all $x$ terms to one side and constant terms to the other:
  Start from $-14x + 1.5 = 4.2 + 10x$
• Subtract $10x$ from both sides to get all $x$ terms on one side:
  $-14x - 10x + 1.5 = 4.2$
  Thus, we have $-24x + 1.5 = 4.2$.
• Subtract $1.5$ from both sides to isolate terms with $x$:
  $-24x = 4.2 - 1.5$
  $-24x = 2.7$
• Finally, divide both sides by $-24$ to solve for $x$:
  $x = \frac{2.7}{-24} = -0.1125$
  Rounding to two decimal places, $x \approx -0.11$.

Therefore, the solution to the equation is $x = -0.11$.