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Adam Frye
Mathematics
13 June, 19:25
Solve for x: - 13 = 5 (1 + 4x) - 2x
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Deborah
13 June, 19:27
0
x = - 1
Step-by-step explanation:
Solve for x:
-13 = 5 (4 x + 1) - 2 x
5 (4 x + 1) = 20 x + 5:
-13 = 20 x + 5 - 2 x
Grouping like terms, 20 x - 2 x + 5 = (-2 x + 20 x) + 5:
-13 = (-2 x + 20 x) + 5
20 x - 2 x = 18 x:
-13 = 18 x + 5
-13 = 18 x + 5 is equivalent to 18 x + 5 = - 13:
18 x + 5 = - 13
Subtract 5 from both sides:
18 x + (5 - 5) = - 5 - 13
5 - 5 = 0:
18 x = - 5 - 13
-5 - 13 = - 18:
18 x = - 18
Divide both sides of 18 x = - 18 by 18:
(18 x) / 18 = (-18) / 18
18/18 = 1:
x = (-18) / 18
The gcd of - 18 and 18 is 18, so (-18) / 18 = (18 (-1)) / (18*1) = 18/18*-1 = - 1:
Answer: x = - 1
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