Answer:
[tex]\frac{-17}{6}[/tex]
Step-by-step explanation:
Let x be the number we want to find.
First we analyze the given informations
Info 1 : Two times the sum of four times a number plus six
We translate this statement (info 1) mathematically as : 2×(4x + 6)
Info 2 : five less than twice the same number
We translate this statement (info 2) mathematically as : 2x - 5
Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5
2×(4x + 6) = 2x - 5
⇔ 8x + 12 = 2x - 5
⇔ 8x - 2x = -5 - 12
⇔ 6x = - 17
⇔ x = -17/6
