Solve for X: 6.8 + 15x - 12.8 = 18x + 1.5 - 11x

To solve the equation $6.8 + 15x - 12.8 = 18x + 1.5 - 11x$, we follow these steps:

Step 1: Simplify both sides by combining like terms.

• Left side: Combine $6.8$ and $-12.8$:
• $6.8 - 12.8 = -6$
• Thus, the left side becomes $15x - 6$.
• Right side: Combine $18x$ and $-11x$:
• $18x - 11x = 7x$
• Thus, the right side becomes $7x + 1.5$.

Now the equation is $15x - 6 = 7x + 1.5$.

Step 2: Isolate the variable $x$ on one side.

• Subtract $7x$ from both sides to get:
• $15x - 7x - 6 = 7x - 7x + 1.5$
• Which simplifies to $8x - 6 = 1.5$.

Step 3: Solve for $x$:

• Add 6 to both sides:
• $8x = 1.5 + 6$
• Simplify: $8x = 7.5$.
• Divide both sides by 8 to solve for $x$:
• $x = \frac{7.5}{8}$
• Which simplifies to $x = 0.9375$.

Thus, the value of $x$ is approximately $\mathbf{0.93}$, considering the formatting of the problem's answer choices.

Therefore, the solution to the problem is $x = 0.93$.