Solve Linear Equation: -7+3x-8x=9+3-5x for Parameter X

To solve this equation for $x$, we will follow these steps:

• Simplify both sides of the equation by combining like terms.
• Rearrange the equation to isolate the variable $x$.
• Analyze the resultant equation to determine the solution.

Let's break it down:

Step 1: Simplify the left side:
The left side of the equation is $-7 + 3x - 8x$. Combine the like terms $3x$ and $-8x$:
$-7 + (3x - 8x) = -7 - 5x$

Step 2: Simplify the right side:
The right side of the equation is $9 + 3 - 5x$. Combine the constant terms $9$ and $3$:
$(9 + 3) - 5x = 12 - 5x$

Step 3: Set the simplified equation:
Now the equation is:
$-7 - 5x = 12 - 5x$

Step 4: Analyze the equation:
If we attempt to isolate $x$ by adding $5x$ to both sides, we get:
$-7 = 12$

This statement is false. Since the manipulation leads to a false statement without any variable $x$, the original equation has no solution.

Therefore, the equation cannot be true for any real number value of $x$. Thus, the correct answer is: no solution.