Question

Resolva as equações abaixo:
a)4x-1 = 3( x - 1)

b)3( x -2) = 2x - 4

c)2( x - 1) = 3x + 4

d)3( x - 1) - 7 =15

e)7( x - 4) = 2x - 3

f)3( x - 2) = 4( 3 - x)

Answer 1

$4x - 1 = 3(x - 1) \\ 4x - 1 = x - 3 \\ 4x - x = - 3 + 1 \\ 3x = - 2 \\ x = - \frac{2}{3}$


$3(x - 2) = 2x - 4 \\ 3x - 6 = 2x - 4 \\ 3x - 2x = - 4 + 6 \\ x = 2$


$3(x - 1) - 7 = 15 \\ 3x - 3 - 7 = 15 \\ 3x = 15 + 7 + 3 \\ 3x = 25 \\ x = \frac{25}{3}$


$7(x - 4) = 2x - 3 \\ 7x - 28 = 2x - 3 \\ 7x - 2x = - 3 + 28 \\ 5x = 25 \\ x = \frac{25}{5} \\ x = 5$


$3(x - 2) = 4(3 - x) \\ 3x - 6 = 12 - 4x \\ 3x + 4x = 12 + 6 \\ 7x = 18 \\ x = \frac{18}{7}$


Espero te sirva, saludos!!