4х6-3(х+1)=-5-2(х-3)-1

Let's solve the equation step by step:

Given:

\[ 4x6 - 3(x + 1) = -5 - 2(x - 3) - 1 \]

First, let's simplify both sides:

On the left side:

\[ 4x6 \] seems to be a mistake. Likely, it should be \( 4x \cdot 6 \) or \( 4 \cdot 6 \), or it might simply be an algebraic variable. Let's try assuming it means \( 4x \cdot 6 = 24x \): So, it becomes:

\[ 24x - 3(x + 1) \]

Now expand the left side:

\[ 24x - 3x - 3 \]

On the right side:

First, simplify inside the parentheses:

\[ -5 - 2(x - 3) - 1 = -5 - 2x + 6 - 1 = -2 - 2x \]

Now, let's rewrite the entire equation:

\[ 24x - 3x - 3 = -2 - 2x \]

Combine like terms on the left side:

\[ (24x - 3x) - 3 = -2 - 2x \]

This simplifies to:

\[ 21x - 3 = -2 - 2x \]

Add \( 2x \) to both sides:

\[ 21x + 2x - 3 = -2 \]

This simplifies to:

\[ 23x - 3 = -2 \]

Now, add 3 to both sides:

\[ 23x = -2 + 3 \]

This gives us:

\[ 23x = 1 \]

Now, divide by 23:

\[ x = \frac{1}{23} \]

So, the solution to the equation is:

\[ x = \frac{1}{23} \]