If 6 is added to five times of a number, then it becomes the same as 9 is subtracted from eight times of the same number. Which of the following equations would you use to find the number ?

Options

A. `6x+5=8x+9`
B. `5x+6=8x-9`
C. `6+5x=9-8x`
D. `6x+5=8x-9`

Answer

To solve the problem step by step, we need to translate the given statement into a mathematical equation.

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

### Step 2: Express "five times of a number"
Five times of the number can be expressed as \( 5x \).

### Step 3: Add 6 to five times of the number
According to the problem, if 6 is added to five times of the number, we write this as:
\[ 5x + 6 \]

### Step 4: Express "eight times of the same number"
Eight times of the same number can be expressed as \( 8x \).

### Step 5: Subtract 9 from eight times of the number
According to the problem, if 9 is subtracted from eight times of the number, we write this as:
\[ 8x - 9 \]

### Step 6: Set up the equation
Now, according to the problem, we have:
\[ 5x + 6 = 8x - 9 \]

### Conclusion
The equation that we would use to find the number is:
\[ 5x + 6 = 8x - 9 \]

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