Question

b)5+2(x-1)-3(1-x)=4
c)2+2(2-x)=5+3(x+4)
d)4(2-x)-6(x-2)=8(2-x)
e)2(x+3)+3(x+2)=22
f)3(x+4)+2(x+2)=41
g)5(x+2)+2(x+3)=23

Answer 1

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

c)
$2 + 2(2 - x) = 5 + 3(x + 4) \\ 2 + 4 - 2x = 5 + 3x + 12 \\ - 2x - 3x = 5 +12 - 2 - 4 \\ - 5x = 11( - 1) \\ 5x = - 11 \\ x = - \frac{ - 11}{5}$

d)
$4(2 - x) - 6(x - 2) = 8(2 - x) \\ 8 - 4x - 6x + 12 = 16 - 8x \\ - 4x - 6x + 8x = 16 - 8 - 12 \\ - 2x = - 4( - 1) \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2$

e)
$2(x + 3) + 3(x + 2) = 22 \\ 2x + 6 + 3x + 6 = 22 \\ 2x + 3x = 22 - 6 - 6 \\ 5x = 10 \\ x = \frac{10}{5} \\ x = 2$

f)
$3(x + 4) + 2(x + 2) = 41 \\ 3x + 12 + 2x + 4 = 41 \\ 3x + 2x = 41 - 12 - 4 \\ 5x = 35 \\ x = \frac{35}{5} \\ x = 7$

g)
$5(x + 2) + 2(x + 3) = 23 \\ 5x + 10 + 2x + 6 = 23 \\ 5x + 2x = 23 - 10 - 6 \\ 7x = 7 \\ x = \frac{7}{7} \\ x = 1$