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Braxton
Mathematics
14 January, 02:38
Solve for x " 1/6x+2/3x+4=x+2
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Aubrey Calhoun
14 January, 02:55
0
x = 12
Step-by-step explanation:
Solve for x:
(5 x) / 6 + 4 = x + 2
Put each term in (5 x) / 6 + 4 over the common denominator 6: (5 x) / 6 + 4 = (5 x) / 6 + 24/6:
(5 x) / 6 + 24/6 = x + 2
(5 x) / 6 + 24/6 = (5 x + 24) / 6:
(5 x + 24) / 6 = x + 2
Multiply both sides by 6:
(6 (5 x + 24)) / 6 = 6 (x + 2)
(6 (5 x + 24)) / 6 = 6/6 * (5 x + 24) = 5 x + 24:
5 x + 24 = 6 (x + 2)
Expand out terms of the right hand side:
5 x + 24 = 6 x + 12
Subtract 6 x from both sides:
(5 x - 6 x) + 24 = (6 x - 6 x) + 12
5 x - 6 x = - x:
-x + 24 = (6 x - 6 x) + 12
6 x - 6 x = 0:
24 - x = 12
Subtract 24 from both sides:
(24 - 24) - x = 12 - 24
24 - 24 = 0:
-x = 12 - 24
12 - 24 = - 12:
-x = - 12
Multiply both sides of - x = - 12 by - 1:
(-x) / (-1) = 12
(-1) / (-1) = 1:
Answer: x = 12
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