Find the solution of the equation unsing trial and error method.
`2x - 5 = (x + 4) + (3x - 9)`

Answer

To solve the equation \(2x - 5 = (x + 4) + (3x - 9)\) using the trial and error method, we will follow these steps:

### Step 1: Simplify the Equation
First, simplify the right-hand side (RHS) of the equation.

\[ (x + 4) + (3x - 9) = x + 4 + 3x - 9 = 4x - 5 \]

So, the equation becomes:
\[ 2x - 5 = 4x - 5 \]

### Step 2: Rearrange the Equation
Next, we can rearrange the equation to isolate \(x\).

\[ 2x - 5 + 5 = 4x - 5 + 5 \]
\[ 2x = 4x \]

### Step 3: Solve for \(x\)
Now, let's move \(4x\) to the left side:
\[ 2x - 4x = 0 \]
\[ -2x = 0 \]

Dividing both sides by -2 gives:
\[ x = 0 \]

### Step 4: Verify the Solution
Now we will verify if \(x = 0\) satisfies the original equation.

Substituting \(x = 0\) into the left-hand side (LHS):
\[ LHS = 2(0) - 5 = -5 \]

Now substituting \(x = 0\) into the right-hand side (RHS):
\[ RHS = (0 + 4) + (3(0) - 9) = 4 + (-9) = 4 - 9 = -5 \]

Since LHS = RHS = -5, our solution is verified.

### Final Solution
The solution to the equation \(2x - 5 = (x + 4) + (3x - 9)\) is:
\[ \boxed{0} \]