Question

← 4ª Questão.png 74% 14h41 : Resolva as equações.
a) 7 (x - 2) = 5 (x + 3)

b) 2 (x - 5) + 4 (x - 1) = 0

c) 3 (2x - 1) = -2 (x + 3)

d) 7 (x - 1) - 2 (x - 5) = x - 5​

Answer 1

Resposta:

a) 7 (x - 2) = 5 (x + 3)

$7x - 14 = 5x + 15 \\ 7x - 14 - 5x - 15 = 0 \\ 2x - 29 = 0 \\ 2x = 29 \\ \\ x = \frac{29}{2}$

b) 2 (x - 5) + 4 (x - 1) = 0

$2x - 10 + 4x - 4 = 0 \\ 6x - 14 = 0 \\ 6x = 14 \div 2 \\ 3x = 7 \\ \\ x = \frac{7}{3}$

c) 3 (2x - 1) = -2 (x + 3)

$6x - 3 = - 2x - 6 \\ 6x - 3 + 2x + 6 = 0 \\ 8x + 3 = 0 \\ 8x = - 3 \\ \\ x = - \frac{3}{8}$

d) 7 (x - 1) - 2 (x - 5) = x - 5

$7x - 7 - 2x + 10 = x - 5 \\ 7x - 7 - 2x + 10 - x + 5 = 0 \\ 4x + 8 = 0 \div 4 \\ x + 2 = 0 \\ x = - 2$