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Lilly Villarreal
Mathematics
9 September, 19:55
What is this answer? 3 (2x + 1) + X = - 39
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Humberto Harvey
9 September, 19:59
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x = 6
Step-by-step explanation:
3 (2 x + 1) + x = - 39
3 (2 x + 1) = 6 x + 3:
6 x + 3 + x = - 39
Grouping like terms, 6 x + x + 3 = (6 x + x) + 3:
(6 x + x) + 3 = - 39
6 x + x = 7 x:
7 x + 3 = - 39
Subtract 3 from both sides:
7 x + (3 - 3) = - 3 - 39
3 - 3 = 0:
7 x = - 3 - 39
-3 - 39 = - 42:
7 x = - 42
Divide both sides of 7 x = - 42 by 7:
(7 x) / 7 = (-42) / 7
7/7 = 1:
x = (-42) / 7
The gcd of - 42 and 7 is 7, so (-42) / 7 = (7 (-6)) / (7*1) = 7/7*-6 = - 6:
Answer: x = - 6
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