Question

Resolver las siguientes ecuaciones.

1: 3×+2(×-2)=5×-4


2: -2(1-2×)-(1-2)=-×-2


3: 2×+4=3×+3(×-2)-4


4: 5(2×-2)-4×=-3(2-×)​

Answer 1

$1)3x + 2(x - 2) = 5x - 4 \\ 3x + 2x - 4 = 5x - 4 \\ 5x - 4 = 5x - 4 \\ 5x - 5x = - 4 + 4 \\ 0x = 0 \\ x = 0$

$2) - 2(1 - 2x) - (1 - 2) = - x - 2 \\ - 2 + 4x - ( - 1) = - x - 2 \\ - 2 + 4x + 1 = - x - 2 \\ - 1 + 4x = - x - 2 \\ 4x + x = - 2 + 1 \\ 5x = - 1 \\ x = - \frac{1}{5}$

$3)2x + 4 = 3x + 3(x - 2) - 4 \\ 2x + 4 = 3x + 3x - 6 - 4 \\ 2x + 4 = 6x - 10 \\ 4 + 10 = 6x - 2x \\ 14 = 4x \\ \frac{14}{4} = x \\ \frac{7}{2} = x$

$4)5(2x - 2) - 4x = - 3(2 - x) \\ 10x - 10 - 4x = - 6 + 3x \\ 6x - 10 = - 6 + 3x \\ 6x - 3x = - 6 + 10 \\ 3x = 4 \\ x = \frac{4}{3}$