4х6-3(х+1)=-5-2(х-3)-1

To solve the equation \( 4x6 - 3(x + 1) = -5 - 2(x - 3) - 1 \), let's start by simplifying both sides of the equation.

First, let's rewrite the equation clearly with the correct mathematical notation: \[ 4x - 3(x + 1) = -5 - 2(x - 3) - 1 \]

Now, let's simplify both sides:

1. Distribute on the left side: \[ 4x - 3x - 3 = -5 - 2(x - 3) - 1 \] \[ 4x - 3x - 3 = -5 - 2x + 6 - 1 \] \[ (4x - 3x) - 3 = -5 + 6 - 1 - 2x \] \[ x - 3 = 0 - 2x \]

2. Now simplify the right side: \[ x - 3 = -2x \]

Next, we can add \( 2x \) to both sides: \[ x + 2x - 3 = 0 \] \[ 3x - 3 = 0 \]

Now, add \( 3 \) to both sides: \[ 3x = 3 \]

Finally, divide both sides by \( 3 \): \[ x = 1 \]

So, the solution to the equation is: \[ \boxed{1} \]