Question

SIMPLIFIQUE AS EXPRESSÕES ALGÉBRICAS:

a) 14(x - 1) / 7 - 2(x + 1) =

b) 4(-x + 1) + 2(-x - 2) + 5x = 

c) 7x - 21 / 7   _   5x - 10 / 5 =

d) 2(t + 4) + 3t - 9 / 3 =

e) 4x - 2 / 2  + 3x - 1 =

f) 3( 2x - 12) / 6 + 4(x - 1) =

Answer 1

a)
$\dfrac{14(x-1)}{7} - 2(x + 1) \\ \\ \dfrac{14x - 14}{7} - 2x -2 \\ \\ \\ 2x - 2 - 2x - 2 \\ \\ - 4$

b) 
$4(-x + 1) + 2(-x - 2) + 5x \\ \\ -4x + 4 - 2x - 4 + 5x \\ \\ -x$

c)
$\dfrac{ 7x - 21}{7} - \dfrac{5x - 10}{5} \\ \\ \\ x - 3 - x - 2 \\ \\ - 1$

d)
$2(t + 4) + 3t - \dfrac{9}{3} \\ \\ \\ 2t + 8 + 3t - 3 \\ \\ 5t + 5 \\ \\ 5t = -5 \\ \\ t = -\dfrac{5}{5} \\ \\ t = -1$

e)
$\dfrac{4x - 2}{2} + 3x - 1 = 0 \\ \\ \\ 2x - 1 + 3x - 1 = 0 \\ \\ 5x - 2 = 0 \\ \\ 5x = 2 \\ \\ x = \dfrac{2}{5}$

f)
$\dfrac{3( 2x - 12) }{6} + 4(x - 1) = 0 \\ \\ \\ \dfrac{ 6x - 36 }{6} + 4x - 4 = 0 \\ \\ \\ x - 6 + 4x - 4 =0 \\ \\ 5x - 10 = 0 \\ \\ 5x = 10 \\ \\ \\ x = \dfrac{10}{5} \\ \\ \\ x = 2$