Question

a) 8x - 1 = 13
b) 10x = 2x + 28
c) 6x – 2 = 18 + 3x
d) 8x – 10 = 2x +14
e) 5x – 2x + 4x = 81
f) 6x + 4 = 12
g) 12 – X + 2 = - 5x + 3 + 2x
h) –5 X – 2x – 4 = 11

Answer 1

Resposta:

a) 8x - 1 = 13

$8x - 1 - 13 = 0 \\ 8x - 14 = 0 \\ 8x = 14 \\ \\ x = \frac{14}{8} \div (2) \\ \\ x = \frac{7}{4}$

b) 10x = 2x + 28

$10x - 2x - 28 = 0 \\ 8x - 28 = 0 \\ 8x = 28 \\ \\ x = \frac{28}{8} \div (4) \\ \\ x = \frac{7}{2}$

c) 6x – 2 = 18 + 3x

$6x - 2 - 18 - 3x = 0 \\ 3x - 20 = 0 \\ 3x = 20 \\ \\ x = \frac{20}{3}$

d) 8x – 10 = 2x +14

$8x - 10 - 2x - 14 = 0 \\ 6x - 24 = 0 \\ 6x = 24 \div (6) \\ x = 4$

e) 5x – 2x + 4x = 81

$5x - 2x + 4x - 81 = 0 \\ 7x - 81 = 0 \\ 7x = 81 \\ \\ x = \frac{81}{7}$

f) 6x + 4 = 12

$6x + 4 - 12 = 0 \\ 6x - 8 = 0 \\ 6x = 8 \\ \\ x = \frac{8}{6} \div (2) \\ \\ x = \frac{4}{3}$

g) 12 – X + 2 = - 5x + 3 + 2x

$14 - x = - 3x + 3 \\ 14 - x + 3x - 3 = 0 \\ 11 + 2x = 0 \\ 2x = - 11 \\ \\ x = - \frac{11}{2}$

h) –5 X – 2x – 4 = 11

$- 7x - 4 - 11 = 0 \\ - 7x - 15 = 0 \\ - 7x = 15 \times ( - ) \\ 7x = - 15 \\ \\ x = - \frac{15}{7}$