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## Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.

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Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.

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Mathematics
3 years
2021-08-17T05:54:02+00:00
2021-08-17T05:54:02+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation: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

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