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Three less than a number is 14 more than two times that number

User Tsnowlan
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1 Answer

3 votes

Answer:

The number is -27.

Explanation:

Since three less than a number (n) is 14 more than two times that number, we can use the following equation and steps to find the number:

Step 1: Add 3 to both sides:

(n - 3 = 2n + 14) + 3

n = 2n + 17

Step 2: Subtract 2n from both sides:

(n = 2n + 17) - 2n

-n = 17

Step 3: Divide both sides by -1 to solve for n:

(-n = 17) / -1

n = -17

Therefore, the number is -17.

Optional Step 4: Check the validity of the answer by substituting -17 for n and ensuring that the answer is the same on both sides of the equation:

-17 - 3 = 2(-17) + 14

-20 = -34 + 14

-20 = -20

Thus, our answer is correct.

User Nihal Sangeeth
by
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