04. Resolva as equações: a) 5x - 4 = 36 b) 9x - 11 = -39 - 5x c) 4 . (2x - 1) - 3 . (1 - 2x) = 4 . (4x -5) d) 5 . (50 - x) + 2x = 3 . (x + 9) - 28
Respostas
Resposta:
a) x = 8
b) x = -2
c) x = 6,5
d) x = 41,8333...
Explicação passo a passo:
a) 5x - 4 = 36
5x = 36 + 4
5x = 40
x = 40 ÷ 5
x = 8
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b) 9x - 11 = -39 - 5x
9x + 5x = -39 + 11
14x = -28
x = -28 ÷ 14
x = -2
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c) 4 · (2x - 1) - 3 · (1 - 2x) = 4 · (4x - 5)
8x - 4 - 3 + 6x = 16x - 20
8x + 6x - 16x = 4 + 3 - 20
-2x = -13
2x = 13
x = 13 ÷ 2
x = 6,5
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d) 5 · (50 - x) + 2x = 3 · (x + 9) - 28
250 - 5x + 2x = 3x + 27 - 28
2x - 5x - 3x = 27 - 28 - 250
-6x = -251
6x = 251
x = 251 ÷ 6
x = 41,8333...