Question

a) 2. (4x - 3) – 5.(x - 1) = 8
b) x-3. (5x – 4) +2.(x + 7) = 0
(c) 7. (8 - 2X) - 6. (5 - x) = x
d) 3. (3x - 2) - 2.(11 - 2x) = -5
e) -7.(4 + 3x) - 8.(x + 7) = 12
f) 9. (X- 6) – 4. (x + 1) = 32​

Answer 1

Explicación paso a paso:

$2(4x - 3) - 5(x - 1) = 8 \\ 8x - 6 - 5x + 5 = 8 \\ 8x - 5x = 8 - 5 + 6 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3$

$x - 3(5x - 4) + 2(x + 7) = 0 \\ x - 15x + 12 + 2x + 14 = 0 \\ x - 15x + 2x = - 14 - 12 \\ - 12x = - 26 \\ x = \frac{ - 26}{ - 12} \\ x = \frac{26}{12} = \frac{13}{6} = 2 \frac{1}{6}$

$7(8 - 2x) - 6(5 - x) = x \\ 56 - 14x - 30 + 6x = x \\ - 14x + 6x - x = - 56 + 30 \\ - 9x = - 26 \\ x = \frac{ - 26}{ - 9} \\ x = \frac{26}{9} = 2 \frac{8}{9}$

$3(3x - 2) - 2(11 - 2x) = - 5 \\ 9x - 6 - 22 + 4x = - 5 \\ 9x + 4x = - 5 + 6 + 22 \\ 13x = 23 \\ x = \frac{23}{13} = 1 \frac{10}{13}$

$- 7(4 + 3x) - 8(x + 7) = 12 \\ - 28 - 21x - 8x - 56 = 12 \\ - 21x - 8x = 12 + 28 + 56 \\ - 29x = 96 \\ x = \frac{96}{ - 29} \\ x = - \frac{96}{29} = - 3 \frac{9}{29}$

$9(x - 6) - 4(x + 1) = 32 \\ 9x - 54 - 4x - 4 = 32 \\ 9x - 4x = 32 + 54 + 4 \\ 5x = 90 \\ x = \frac{90}{5} \\ x = 18$