Question

three times a number is three more than twice the number. which equation can be used to find the value of \\(x\\), the unknown number?

\\(3x = 3 + 2x\\)
\\(x = 3 + 2x\\)
\\(3x + 3 = 2x\\)
\\(3x = 3 + 2 + x\\)

Explanation:

Define the variable and translate the left side of the equation

Let \(x\) represent the unknown number.
"Three times a number" translates to:

$$3x$$

Translate the right side of the equation

"Three more than twice the number" translates to:

$$3 + 2x$$

Formulate the complete equation

Equating the two translated expressions:

$$3x = 3 + 2x$$

Answer:

• (A) \(3x = 3 + 2x\) (Correct answer)
• (B) \(x = 3 + 2x\)
• (C) \(3x + 3 = 2x\)
• (D) \(3x = 3 + 2 + x\)