Question

A) 8 - x = 2
B) 2x = x - 3
C) 3x-7 = 17
D) -x = 3 x + 5
E) 2 x + 1 = 12
F) 3 x - 2 = - 2 x -12
G) 2 (x + 1) = 3
H) 3( x- 2) = 5 ( x - 1)

Answer 1

Resposta:

A) 8 - x = 2

$- x = 2 - 8 \\ - x = - 6 \times ( - 1) \\ x = 6$

B) 2x = x - 3

$2x - x + 3 = 0 \\ x + 3 = 0 \\ x = - 3$

C) 3x-7 = 17

$3x - 7 - 17 = 0 \\ 3x - 24 = 0 \\ 3x = 24 \div (3) \\ x = 8$

D) -x = 3 x + 5

$- x - 3x - 5 = 0 \\ - 4x - 5 = 0 \\ - 4x = 5 \times ( - 1) \\ 4x = - 5 \\ \\ x = - \frac{5}{4}$

E) 2 x + 1 = 12

$2x + 1 - 12 = 0 \\ 2x - 11 = 0 \\ 2x = 11 \\ \\ x = \frac{11}{2}$

F) 3 x - 2 = - 2 x -12

$3x - 2 + 2x + 12 = 0 \\ 5x + 10 = 0 \\ 5x = - 10 \div (5) \\ x = - 2$

G) 2 (x + 1) = 3

$2x + 2 = 3 \\ 2x + 2 - 3 = 0 \\ 2x - 1 = 0 \\ 2x = 1 \\ \\ x = \frac{1}{2}$

H) 3( x- 2) = 5 ( x - 1)

$3x - 6 = 5x - 5 \\ 3x - 6 - 5x + 5 = 0 \\ - 2x - 1 = 0 \\ - 2x = 1 \times ( - 1) \\ 2x = - 1 \\ \\ x = - \frac{1}{2}$