To find the number, we can write and solve an equation. The number is 7.
Let's define the number as x. The problem states that fourteen less than five times the number is three times the number. We can write this as the equation: 5x - 14 = 3x. To solve for x, we need to isolate it on one side of the equation. First, let's subtract 3x from both sides: 5x - 3x - 14 = 3x - 3x. Simplifying this, we get: 2x - 14 = 0. Next, let's add 14 to both sides: 2x - 14 + 14 = 0 + 14. Simplifying this, we get: 2x = 14. Finally, divide both sides by 2: 2x/2 = 14/2. Simplifying this, we get: x = 7. Therefore, the number is 7.
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