a)
[tex]7x - 3(x + 4) = 2(x + 3) + 9[/tex]
[tex]7x - 3x - 12 = 2x + 6 + 9[/tex]
[tex]4x - 12 = 2x + 15[/tex]
[tex]4x - 2x = 15 + 12[/tex]
[tex]2x = 27[/tex]
[tex]x = \frac{27}{2} [/tex]
b)
[tex]2(6(3x + 2) - 23) = 86[/tex]
[tex]6 (3x + 2) - 23 = 43[/tex]
[tex]18x + 12 - 23 = 43[/tex]
[tex]18x - 11 = 43[/tex]
[tex]18x = 43 + 11[/tex]
[tex]18x = 54[/tex]
[tex]x = 3[/tex]
c)
[tex](14 + 7(x + 1)) + 5 = 110[/tex]
[tex](14 + 7x + 7) + 5 = 110[/tex]
[tex](21 + 7x) + 5 = 110[/tex]
[tex]21 + 7x + 5 = 110[/tex]
[tex]26 + 7x = 110[/tex]
[tex]7x = 110 - 26[/tex]
[tex]7x = 84[/tex]
[tex]x = 12[/tex]
d)
[tex]2 \times (7(2x + 1) - 11) + 16 = 36[/tex]
[tex]2 \times (14x + 7 - 11) +1 6 = 36[/tex]
[tex]2 \times (14x - 4) + 16 = 36[/tex]
[tex]28x - 8 + 16 = 36[/tex]
[tex]28x + 8 = 36[/tex]
[tex]28x = 36 - 8[/tex]
[tex]28x = 28[/tex]
[tex]x = 1[/tex]
e)
[tex]5 \times (6(2x + 5) - 12) - 140 = 10[/tex]
[tex]5 \times (12x + 30 - 12) - 140 = 10[/tex]
[tex]5 \times (12x + 18) - 140 = 10[/tex]
[tex]60x + 90 - 140 = 10[/tex]
[tex]60x - 50 = 10[/tex]
[tex]60x = 10 - + 50[/tex]
[tex]60x = 60[/tex]
[tex]x = 1[/tex]
