Question

Resolva as equações:

a) 2x + 3 = 4 −8x
b) 43+ 30x =20 + 40x

c) 2(3x+ 5) = 58 - 18x

e) 3x + 4 = x – 20
f) 9x + 30 = 4 − 70x

g)43 − 28x = 40 −19x
h) 5x + 8 = 40 − 3x

i)-2x +12 = 22 - 4x
j) 8(2x+ 3) = 54 - 4x​

Answer 1

$a) \: 2x + 8x = 4 - 3 \\ 10x = 1 \\ x = \frac{1}{10}$

$b) \: 43 - 20 = 40x - 30x \\ 23 = 10x \\ \frac{23}{10} = x$

$c) \: 6x + 10 = 58 - 18x \\ 6x + 18x = 58 - 10 \\ 24x = 48 \\ x = \frac{48}{24} = 2$

$e) \: 3x - x = - 20 - 4 \\ 2x = - 24 \\ x = \frac{ - 24}{2} = - 12$

$f) \: 9x + 70x = 4 - 30 \\ 79x = - 30 \\ x = \frac{ - 30}{79}$

$g) - 28x + 19x = 40 - 43 \\ - 9x = - 3 \\ x = \frac{ - 3}{ - 9}$

$h) \: 5x + 3x = 40 - 8 \\ 8x = 32 \\ x = \frac{32}{8} = 4$

$i) \: - 2x + 4x = 22 - 12 \\ 2x = 10 \\ x = \frac{10}{2} = 5$

$j) \: 16x + 24 = 54 - 4x \\ 16x + 4x = 54 - 24 \\ 20x = 30 \\ x = \frac{30}{20}$