Four times the sum of a number and three is equal to eight more than twice the and number

Answer 1

Hello Nataly,

First, in order to solve the problem we want to express what the problem states which equates to this:

4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8 <-------subtract 2x from both sides of the equation.

2x = -4 <-------subtract -12 from both sides

x = -2 <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

4 = 4

The solution checks out and therefore the answer is valid. I hope I have assisted. Please have a great day tomorrow and should you have any feedback, questions, or need one on one tutoring, please feel free to reach out to me or any tutor. Best!

Answer 2

Hi, Nataly.

4(n + 3) = 8 + 2n

4n + 12 = 8 + 2n

2n + 12 = 8

2n = 8 -12 = -4

n = -2