The problem is to solve the linear equation $4(x - 2) + 5x = 9x + 8$ for $x$.

1. Problem Description

The problem is to solve the linear equation $4(x - 2) + 5x = 9x + 8$ for $x$.

2. Solution Steps

First, distribute the 4 in the term $4(x-2)$:

$4(x - 2) = 4x - 8$

Substitute this back into the original equation:

$4x - 8 + 5x = 9x + 8$

Combine like terms on the left side of the equation:

$4x + 5x - 8 = 9x + 8$

$9x - 8 = 9x + 8$

Subtract $9x$ from both sides of the equation:

$9x - 8 - 9x = 9x + 8 - 9x$

$-8 = 8$

Since $-8 = 8$ is a false statement, there is no solution for $x$.

3. Final Answer

No solution.