Question

Resolver las siguientes 3 ecuaciones y verificarlas
primera 5 (x-1) +16 (2x+3) = 3 (2x-7) -x
segunda 5-4 (3x+1) = 1+4 (2x+20)
tercera 3 (x-2) + x = 5 (x-3) +9

Answer 1

Primera
5 (x-1) +16 (2x+3) = 3 (2x-7) -x
5x - 5 + 32x + 48 = 6x - 21 - x 
37x + 43 = 5x - 21
37x - 5x = -21 - 43
32x = - 64
x = -64/32
x = -2

Comprobación

x = -2

5 (x-1) +16 (2x+3) = 3 (2x-7) -x
5x - 5 + 32x + 48 = 6x - 21 - x 
37x + 43 = 5x - 21
37(-2) + 43 = 5(-2) - 21
-74 + 43 = -10 - 21
-31 = -31

Segunda
5 - 4(3x + 1) = 1 + 4(2x + 20)
5 - 12x - 4 = 1 + 8x + 80
-12x + 1 = 8x + 81
-12x - 8x = 81 - 1
-4x = 80
x = 80/-4
x = -20

Comprobación

x = -20

5 - 4(3x + 1) = 1 + 4(2x + 20)
5 - 12x - 4 = 1 + 8x + 80
-12x + 1 = 8x + 81
-12(-20) + 1 = 8(-20) + 81
240 + 1 = 160 + 81
241 = 241

Tercera
3(x - 2) + x = 5(x - 3) + 9
3x - 6 + x = 5x - 15 + 9
4x - 6 = 5x - 6
-6 + 6 = 5x - 4x
0 = x

Comprobación

x = 0 

3(x - 2) + x = 5(x - 3) + 9
3x - 6 + x = 5x - 15 + 9
4x - 6 = 5x - 6
4(0) - 6 = 5(0) - 6
-6 = -6