Eight more than 5 times a number is 78. Find the number.

Answer

To solve the equation "Eight more than 5 times a number is 78," we can follow these steps:

### Step 1: Define the variable
Let the unknown number be represented by \( x \).

### Step 2: Set up the equation
According to the problem, "8 more than 5 times a number" can be expressed mathematically as:
\[ 5x + 8 = 78 \]

### Step 3: Isolate the term with the variable
To isolate \( 5x \), we need to subtract 8 from both sides of the equation:
\[ 5x + 8 - 8 = 78 - 8 \]
This simplifies to:
\[ 5x = 70 \]

### Step 4: Solve for \( x \)
Now, we divide both sides by 5 to find the value of \( x \):
\[ x = \frac{70}{5} \]
This simplifies to:
\[ x = 14 \]

### Step 5: State the final answer
The number is \( 14 \).

---