Solve: `8x - 5 = 3x + 55`

Answer

To solve the equation \(8x - 5 = 3x + 55\), we will follow these steps:

### Step 1: Move all terms involving \(x\) to one side of the equation.
We start with the equation:

\[ 8x - 5 = 3x + 55 \]

To isolate \(x\), we will subtract \(3x\) from both sides:

\[ 8x - 3x - 5 = 55 \]

### Step 2: Simplify the equation.
Now, simplify the left side:

\[ (8x - 3x) - 5 = 55 \]

This simplifies to:

\[ 5x - 5 = 55 \]

### Step 3: Move the constant term to the other side.
Next, we will add \(5\) to both sides to eliminate the \(-5\):

\[ 5x - 5 + 5 = 55 + 5 \]

This simplifies to:

\[ 5x = 60 \]

### Step 4: Solve for \(x\).
Now, we will divide both sides by \(5\) to solve for \(x\):

\[ x = \frac{60}{5} \]

This simplifies to:

\[ x = 12 \]

### Final Answer:
Thus, the solution to the equation \(8x - 5 = 3x + 55\) is:

\[ x = 12 \]

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