When 6 times a number x is added to 5 ,the result is 19. What number results when 5 is subtracted from 3 times x?

Options

A. `-3`
B. `(2)/(3)`
C. `2`
D. `7`

Answer

To solve the problem step by step, we will break it down into two parts as described in the question.

### Step 1: Set up the equation based on the first statement
The first part of the question states: "When 6 times a number x is added to 5, the result is 19."

We can express this mathematically as:
\[ 6x + 5 = 19 \]

### Step 2: Solve for x
To find the value of \( x \), we need to isolate \( x \) in the equation we set up.

1. Subtract 5 from both sides:
\[ 6x + 5 - 5 = 19 - 5 \]
\[ 6x = 14 \]

2. Now, divide both sides by 6:
\[ x = \frac{14}{6} \]
\[ x = \frac{7}{3} \]

### Step 3: Find the result of 3 times x minus 5
Now, we need to find what number results when 5 is subtracted from 3 times \( x \). We can express this as:
\[ 3x - 5 \]

1. Substitute \( x \) with \( \frac{7}{3} \):
\[ 3 \left(\frac{7}{3}\right) - 5 \]

2. Simplify:
\[ 3 \cdot \frac{7}{3} = 7 \]
\[ 7 - 5 = 2 \]

### Final Answer
The number that results when 5 is subtracted from 3 times \( x \) is:
\[ 2 \]

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