It seems there's a mistake in your equation because of the repeated use of `=`. Let's break it down into two separate equations:

1. \( 96 - 3(x+1) = 4296 \)
2. \( 3(x+1) = 42 \)

Let's solve these equations one at a time.

**Equation 1:**

\[ 96 - 3(x+1) = 4296 \]

Expanding the equation gives:

\[ 96 - 3x - 3 = 4296 \]

Combining like terms:

\[ 93 - 3x = 4296 \]

Subtracting 93 from both sides:

\[ -3x = 4296 - 93 \]

\[ -3x = 4203 \]

Dividing both sides by -3:

\[ x = -1401 \]

**Equation 2:**

\[ 3(x+1) = 42 \]

Expanding the equation gives:

\[ 3x + 3 = 42 \]

Subtracting 3 from both sides:

\[ 3x = 39 \]

Dividing both sides by 3:

\[ x = 13 \]

Thus, there seems to be a contradiction between the two equations regarding the value of \( x \). Please check the original problem to find a possible transcription or formatting error. If the goal is to solve for \( x \) from the equations \( 96 - 3(x+1) = 4296 \) and \( -3(x+1) = 42 \) separately, you have the solutions for each.