Question

G) 2.(3x-2)-(x+3)=8
H) 2.(13+x)=41+x
I) 2.(x-3)-3.(4x-5)=17-8x
J) 4x-3.(1-3x)=-3
K) 4.(2x)-3.(3x-5)=12x-180
L) 6-x=4.(x-3)-7.(x-4)
M) 3.(2x-6)-[(x-(3x-8)+2)-1]=2-(3-2x)

Answer 1

Explicación paso a paso:

$g) \\ 2(3x - 2) - (x + 3) = 8 \\ 6x - 4 - x - 3 = 8 \\ 5x - 7 = 8 \\ 5x = 8 + 7 \\ 5x = 15 \\ x = 15 \div 5 \\ x = 3$

$h) \\ 2(13 + x) = 41 + x \\ 26 + 2x = 41 + x \\ 2x - x = 41 - 26 \\ x = 15$

$i) \\ 2(x - 3) - 3(1 - 3x) = - 3 \\ 2x - 6 - 3 + 9x = - 3 \\ 11x - 9 = - 3 \\ 11x = - 3 + 9 \\ 11x = 6 \\ x = \frac{6}{11}$

$k) \\ 4(2x) - 3(3x - 5) = 12x - 180 \\ 8x - 9x + 15 = 12x - 180 \\ - 1x + 15 = 12x - 180 \\ - 1x - 12x = - 180 - 15 \\ - 13x = - 195 \\ \\ x = \frac{195}{13} \\ \\ x = 15$

$j) \\ 4x - 3(1 - 3x) = - 3 \\ 4x - 3 + 9x = - 3 \\ 13x = - 3 + 3 \\ 13x = 0 \\ x = 0 \div 13 \\ x = 0$

$l) \\ 6 - x = 4(x - 3) - 7(x - 4) \\ 6 - x = 4x - 12 - 7x + 28 \\ 6 - x = - 3x + 16 \\ - x + 3x = 16 - 6 \\ 2x = 10 \\ x = 10 \div 2 \\ x = 5$

$m) \\ 3(2x - 6) - ((x - (3x - 8) + 2) - 1) = 2 - (3 - 2x) \\ 6x - 18 - ((x - 3x + 8 + 2) - 1) = 2 - 3 + 2x \\ 6x - 18 - ( - 2x + 10 - 1) = - 1 + 2x \\ 6x - 18 - ( - 2x + 9) = - 1 + 2x \\ 6x - 18 + 2x - 9 = - 1 + 2x \\ 8x - 27 = - 1 + 2x \\ 8x - 2x = - 1 + 27 \\ 6x = 26 \\ x = \frac{26}{6} \\ \\ x = \frac{13}{3}$