Question

a) 5x + 10 = 12x - 4
b) 4x + 2 - 2x = 8x
c) 6x - 9x = 18-27
d) 2 + 4x - 15 = - 13x + 4
e) 2x - 3) + 3(x - 1) = 1
f) 4x + 2(x - 1)-3x-2) = 13
g) (1 - x) + 2(2x + 3) = 4
h) x + 2x + 3x = 5(1-x) + 6​

Answer 1

Respuesta:

$a)5x + 10 = 12x - 4 \\ 10 + 4 =12x -5 x \\ 14 = 7x \\ 2 = x$

$b)4x + 2 - 2x = 8x \\ 2x + 2 = 8x \\ 2 = 8x - 2x \\ 2 = 6x \\ \frac{2}{6} = x \\ \frac{1}{3} = x$

$c) 6x - 9x = 18-27 \\ - 3x = - 9 \\ x = \frac{ - 9}{ - 3} \\ x = 3$

$d) 2 + 4x - 15 = - 13x + 4 \\ - 13 + 4x = - 13x + 4 \\ 4x + 13x = 4 + 13 \\ 17x = 17 \\ x = 1$

$e) (2x - 3)+ 3(x - 1) = 1 \\ 2x - 3 + 3x - 3 = 1 \\ 5x - 6 = 1 \\ 5x = 1 + 6 \\ 5x = 7\\ x = \frac{7}{5}$

$f) 4x + 2(x - 1)-(3x-2) = 13 \\4x + 2x - 2 - 3x + 2 = 13 \\ 3x = 13 \\ x = \frac{13}{3}$

$g) (1 - x) + 2(2x + 3) = 4 \\ 1 - x + 4x + 6 = 4 \\ 7 + 3x = 4 \\ 3x = 4 - 7 \\ 3x = - 3 \\ x = - 1$

$h) x + 2x + 3x = 5(1-x) + 6 \\ 6x = 5 - 5x + 6 \\ 6x = 11 - 5x \\ 6x + 5x = 11 \\ 11x = 11 \\ x = 1$