Question

Resolva as equações:
A) 14x -6 = 8x + 4
B)4 x + x -5= 2x -3x + 18
C) 40 = 3x + 4
D) -7x = -63
E) 5 (2x -1) = 8 + 4x
F) 7x +2 (6x -3) = -2 (x - 1)

Answer 1

Vamos lá!

$a) \: 14x - 6 = 8x + 4 \\ 14x - 8x = 4 + 6 \\ 6x = 10 \\ x = \frac{10}{6} \: simplificando \: \: por \: \: 2 = \\ \frac{5}{3}$

$b) \: 4x + x - 5 = 2x - 3x + 18 \\ 4x + x - 2x + 3x = 18 + 5 \\ 6x = 23 \\ x = \frac{23}{6}$

$c) \: 40 = 3x + 4 \\ - 3x = 4 - 40 \\ - 3x = - 36.( - 1) \\ 3x = 36 \\ x = \frac{36}{3} \\ x = 12$

$d) \: - 7x = - 63 \\ - 7x = - 63.( - 1) \\ 7x = 63 \\ x = \frac{63}{7} \\ x = 9$

$e) \: 5(2x - 1) = 8 + 4x \\ 10x - 5 = 8 + 4x \\ 10x - 4x = 8 + 5 \\ 6x = 13 \\ x = \frac{13}{6}$

$f)7x + 2(6x - 3) = - 2(x - 1) \\ 7x + 12x - 6 = - 2x + 2 \\ 7x + 12x + 2x = 2 + 6 \\ 21x = 8 \\ x = \frac{8}{21}$

Espero ter ajudado!