Questions: Translate into an equation. The difference between six and twice a number, x, is two. Find the number. x=

Solution Steps

To translate the given statement into an equation, we need to express the relationship described in the problem using algebraic terms. The difference between six and twice a number \( x \) is two can be written as \( 6 - 2x = 2 \). To find the number \( x \), we solve this equation for \( x \).

The problem states that the difference between six and twice a number \( x \) is two. This can be expressed mathematically as: \[ 6 - 2x = 2 \]

To find the value of \( x \), we will isolate \( x \) in the equation: \[ 6 - 2x = 2 \] Subtracting 6 from both sides gives: \[ -2x = 2 - 6 \] \[ -2x = -4 \] Dividing both sides by -2 results in: \[ x = 2 \]

Final Answer