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.

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

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: