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Mathematics
Caitlin Morton
10 September, 12:35
8. 6 - 4x = 6x - 8x + 2
X=
+2
Answers (
1
)
Alannah Byrd
10 September, 16:22
0
x = 2
Step-by-step explanation:
Solve for x:
6 - 4 x = 2 - 2 x
Add 2 x to both sides:
2 x - 4 x + 6 = (2 x - 2 x) + 2
2 x - 2 x = 0:
2 x - 4 x + 6 = 2
2 x - 4 x = - 2 x:
-2 x + 6 = 2
Subtract 6 from both sides:
(6 - 6) - 2 x = 2 - 6
6 - 6 = 0:
-2 x = 2 - 6
2 - 6 = - 4:
-2 x = - 4
Divide both sides of - 2 x = - 4 by - 2:
(-2 x) / (-2) = (-4) / (-2)
(-2) / (-2) = 1:
x = (-4) / (-2)
The gcd of - 4 and - 2 is - 2, so (-4) / (-2) = (-2*2) / (-2*1) = (-2) / (-2) * 2 = 2:
Answer: x = 2
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