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

1)
$5(x - 1) + 16(2x + 3) = 3(2x - 7 ) - x \\ 5x - 5 + 32x + 48 = 6x - 21 - x \\ 37x + 43 = 5x - 21 \\ 37x - 5x = - 21 - 43 \\ 32x = - 64 \\ x = - 64 \div 32 \\ x = - 2$
y la verificacion

$5( - 2 - 1) + 16(2 \times ( - 2) + 3) = 3(2 \times ( - 2) - 7) - ( - 2) \\ 5 \times ( - 3) + 16( - 4 + 3) = 3( - 4 - 7) + 2 \\ - 15 + 16 \times ( - 1) = 3 \times ( - 11) + 2 \\ - 15 - 16 = - 33 + 2 \\ - 31 = - 31$

2)

$5 - 4(3x + 1) = 1 + 4(2x + 20) \\ 5 - 12x - 4 = 1 + 8x + 80 \\ 1 - 12x = 81 + 8x \\ - 12x - 8x = 81 - 1 \\ - 20x = 80 \\ x = 80 \div ( - 20) \\ x = - 4$
y la verificacion

$5 - 4(3 \times ( - 4) + 1) = 1 + 4(2 \times (- 4) + 20) \\ 5 - 4( - 12 + 1) = 1 + 4( - 8 + 20) \\ 5 - 4 \times ( - 11) = 1 + 4 \times12 \\ 5 + 44 = 1 + 48 \\ 49 = 49$

3)
$3(x - 2) + x = 5(x - 3) + 9 \\ 3x - 6 + x = 5x - 15 + 9 \\ 4x - 6 = 5x - 6 \\ 4x - 5x = - 6 + 6 \\ - 1x = 0 \\ x = 0 \div 1 \\ x = 0$
y la verificación

$3(0 - 2) + 0 = 5(0 - 3) + 9 \\ 3 \times ( - 2) + 0 = 5 \times ( - 3) + 9 \\ - 6 + 0 = - 15 + 9 \\ - 6 = - 6$

espero haberte ayudado