a) –6 < x < 0 c) 3 < x < 10
b) –12 < x < –8 d) 12 < x < 18
3x - 2(x - 5) - (-5 + 3x)/2 = 0
3x - 2x + 10 + 5/2 + 3x/2 = 0
x + 10 + 5/2 + 3x/2 = 0
2x/2 + 20/2 + 5/2 + 3x/2 = 0
(2x + 20 + 5 + 3x)/2 = 0
2x + 20 + 5 + 3x = 0
5x + 25 = 0
5x = -25
x = -25/5
x = -5
Resposta: a) –6 < x < 0
[3x - 2*(x - 5) - (-5 + 3x)]/2 = 0
3x - 2x + 10 + 5 - 3x = 0
-2x + 15 = 0
2x = 15
x = 15/2 = 7,5
c) 3 < x < 10
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Verified answer
3x - 2(x - 5) - (-5 + 3x)/2 = 0
3x - 2x + 10 + 5/2 + 3x/2 = 0
x + 10 + 5/2 + 3x/2 = 0
2x/2 + 20/2 + 5/2 + 3x/2 = 0
(2x + 20 + 5 + 3x)/2 = 0
2x + 20 + 5 + 3x = 0
5x + 25 = 0
5x = -25
x = -25/5
x = -5
Resposta: a) –6 < x < 0
[3x - 2*(x - 5) - (-5 + 3x)]/2 = 0
3x - 2x + 10 + 5 - 3x = 0
-2x + 15 = 0
2x = 15
x = 15/2 = 7,5
c) 3 < x < 10