Four times a number diminished by 5 equals 19. Find the number.

Answer

To solve the equation "Four times a number diminished by 5 equals 19," we can follow these steps:

### Step 1: Define the variable
Let \( x \) be the unknown number we need to find.

### Step 2: Write the equation
According to the problem, "four times a number diminished by 5 equals 19" can be expressed as:
\[ 4x - 5 = 19 \]

### Step 3: Isolate the term with the variable
To isolate \( 4x \), we need to get rid of the -5 on the left side. We do this by adding 5 to both sides of the equation:
\[ 4x - 5 + 5 = 19 + 5 \]
This simplifies to:
\[ 4x = 24 \]

### Step 4: Solve for \( x \)
Now, we need to find \( x \) by dividing both sides of the equation by 4:
\[ x = \frac{24}{4} \]
This simplifies to:
\[ x = 6 \]

### Conclusion
The number is \( 6 \).

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