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GaudySky
08.12.2019 •
Mathematics
Problem number 4: solve for x.
11x-15=1/2[(32x-3)-15x-13)]
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Ответ:
x = 14/5
Step-by-step explanation:
Solve for x:
11 x - 15 = (17 x - 16)/2
Multiply both sides by 2:
2 (11 x - 15) = 1 (17 x - 16)
(2 (17 x - 16))/2 = 2/2×(17 x - 16) = 17 x - 16:
2 (11 x - 15) = 17 x - 16
Expand out terms of the left hand side:
22 x - 30 = 17 x - 16
Subtract 17 x from both sides:
(22 x - 17 x) - 30 = (17 x - 17 x) - 16
22 x - 17 x = 5 x:
5 x - 30 = (17 x - 17 x) - 16
17 x - 17 x = 0:
5 x - 30 = -16
Add 30 to both sides:
5 x + (30 - 30) = 30 - 16
30 - 30 = 0:
5 x = 30 - 16
30 - 16 = 14:
5 x = 14
Divide both sides of 5 x = 14 by 5:
(5 x)/5 = 14/5
5/5 = 1:
x = 14/5
Ответ: