Solve the Equation: Find X in -3x + 4 - 5x + 6 - 1 = 3x - 10 + 8x

To solve the linear equation $-3x + 4 - 5x + 6 - 1 = 3x - 10 + 8x$, we will follow these steps:

• Step 1: Simplify each side by combining like terms.
• Step 2: Move all terms containing $x$ to one side of the equation and constant terms to the other.
• Step 3: Solve for $x$.

Let's simplify the equation step-by-step:

Step 1: Simplify each side.

On the left side: $-3x + 4 - 5x + 6 - 1$

This can be simplified by combining like terms:

$-3x - 5x + 4 + 6 - 1 = -8x + 9$

On the right side: $3x - 10 + 8x$

Combine like terms:

$3x + 8x - 10 = 11x - 10$

So, we have simplified the equation to:

$-8x + 9 = 11x - 10$

Step 2: Isolate $x$.

To balance the equation and solve for $x$, let's move the $x$-terms to one side and constant terms to the other side.

Add $8x$ to both sides to move all $x$-terms to the right side:

$9 = 11x + 8x - 10$

$9 = 19x - 10$

Now add 10 to both sides to move the constant terms to the left side:

$9 + 10 = 19x$

$19 = 19x$

Step 3: Solve for $x$.

Divide both sides by 19 to solve for $x$:

$x = 1$

Therefore, the solution to the equation is $x = 1$. This value corresponds to choice id "2" in the list.