Ex. 8)
a)
5x + 3(x-6) = 7x +13
5x + 3x - 18 = 7x +13
8x = 7x + 31
8x - 7x = 31
1x = 31
x = 31
b)
6x + 4(x-8) = 9x + 21
6x + 4x - 32 = 9x + 21
10x = 9x +21 +32
10x = 9x +53
10x - 9x = 53
1x = 53
x = 53
c)
5(x-7) - 2x = x - 41
5x - 35 - 2x = x - 41
3x = x -41 +35
3x = x -6
2x = -6
x = -6 ÷ 2
x = -3
d)
7(x-9) - 4x = x - 39
7x - 63 - 4x = x -39
3x = x -39 +63
3x = x + 24
2x = 24
x = 24 ÷ 2
x = 12
e)
4(x+5) - 3(x-3) = 2(x+15)
4x + 20 - 3x - 9 = 2x + 30
x + 11 = 2x +30
x = 2x +19
x + 19 = 0
x = -19
f)
5(x+2) - 4(x-2) = 3(x+8)
5x + 10 - 4x - 8 = 3x + 24
x + 2 = 3x + 24
x = 3x + 22
0 = 2x + 22
2x + 22 = 0
2x = -22
x = -22 ÷ 2
x = -11
g)
2[15+3(x-1)] = 4(x+7)
2(15+3x - 15+3) = 4x + 28
30 + 6x - 30 + 6 = 4x + 28
6x + 6 = 4x + 28 / -4x
2x + 6 = 28
2x = 28 -6 = 22
x = 22 ÷ 2
x = 11
g)
2[(4x-2)-16] = 6(x+5)
(8x - 4) - 32 = 6x + 30
8x - 4 = 6x + 30 + 32
8x - 4 = 6x + 62
8x = 6x + 66 / -6x
2x = 66
x = 66 ÷ 2
x = 33
