Share
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.
Question
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.
in progress
0
Mathematics
3 years
2021-08-17T05:54:02+00:00
2021-08-17T05:54:02+00:00 1 Answers
1 views
0
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