Question

Necesito estos ejercicios:

2(x - 7) - 3(x + 2) + 4(x + 1) - 2 = 0

3x - 5 = x/2

(x - 9) / 2 = (1 + 3x) / 13

2(3x-1)/3-(x+1)/5=-1

x/2 - 4 = (x-1)/2 - 7/2

Answer 1

$2\left(x-7\right)-3\left(x+2\right)+4\left(x+1\right)-2=0$
$3x-18=0$
$3x-18+18=0+18$
$3x=18$
$\frac{3x}{3}=\frac{18}{3}$
$x=6$

$3x-5=\frac{x}{2}$
$3x\cdot \:2-5\cdot \:2=\frac{x}{2}\cdot \:2$
$6x-10=x$
$6x-10+10=x+10$
$6x=x+10$
$6x-x=x+10-x$
$5x=10$
$\frac{5x}{5}=\frac{10}{5}$
$x=2$

$\frac{\left(x-9\right)}{2}=\frac{\left(1+3x\right)}{13}$
$x-9=\frac{1+3x}{13}\cdot \:2$
$\left(x-9\right)\cdot \:13=\left(1+3x\right)\cdot \:2$
$13x-117=2+6x$
$13x-117+117=2+6x+117$
$13x=6x+119$
$13x-6x=6x+119-6x$
$7x=119$
$\frac{7x}{7}=\frac{119}{7}$
$x=17$

$\frac{2\left(3x-1\right)}{3}-\frac{\left(x+1\right)}{5}=-1$
$\frac{2\left(3x-1\right)}{3}\cdot \:15-\frac{x+1}{5}\cdot \:15=-1\cdot \:15$
$10\left(3x-1\right)-3\left(x+1\right)=-15$
$27x-13=-15$
$27x-13+13=-15+13$
$27x=-2$
$\frac{27x}{27}=\frac{-2}{27}$
$x=-\frac{2}{27}$

$\frac{x}{2}-4=\frac{\left(x-1\right)}{2}-\frac{7}{2}$
$\frac{x}{2}-4=\frac{x-1}{2}-\frac{7}{2}$
$\frac{x}{2}\cdot \:2-4\cdot \:2=\frac{x-1}{2}\cdot \:2-\frac{7}{2}\cdot \:2$
$x-8=x-1-7$
$x-8=x-8$
$x-8+8=x-8+8$
$x=x$
$x-x=x-x$
$0=0$ 
Verdadero para cualquier valor de x.

Answer 2

2(x - 7) - 3(x + 2) + 4(x + 1) - 2 = 0
2x - 14 - 3x - 6 + 4x + 4 - 2 = 0
2x - 3x + 4x - 14 - 6 - 2 + 4 = 0
6x - 3x - 22 + 4 = 0
3x - 18 = 0
3x = 18
x = 18/3
x = 6-------------Respuesta

3x - 5 = x/2
3x - x/2 = 5
(3x * 2 - x)/ = 5
6x - x = 2 (5)
5x = 10
x = 10/5
x = 2-----------Respuesta


(x - 9) / 2 = (1 + 3x) / 13
13 (x - 9) = 2 (1 + 3x)
13x - 117 = 2 + 6x
13x - 6x = 2 + 117
7x = 119
x = 119/7
x = 17-----------------Respuesta 



2(3x-1)/3-(x+1)/5=-1
(10 (3x - 1) - (x + 1)) / 3 * 5 = - 1
(30x - 10 - 3x - 3)/15 = - 1
(27x - 13)/15 = - 1
27x - 13 = 15 (- 1)
27x - 13 = - 15
27x = - 15 + 13
27x = - 2
x = -2/27--------------Respuesta


x/2 - 4 = (x-1)/2 - 7/2
(x - 2 * 4)/2 = ((x - 1) + (- 7))/2
(x - 8)/2 = (x - 1 - 7)/2
(x - 8)/2 = (x - 8)/2
2 (x - 8) = 2 (x - 8)
2x - 18 = 2x - 16
2x - 2x = - 16 + 16
0x = 0----------No existe solución