Verified answer

1)

[tex]7( x+ 2) = - 14 \\ x + 2 = - 14 \div 7 \\ x + 2 = - 2 \\ x = - 2 - 2 \\ x = - 4[/tex]

2)

[tex]8y = 2(5 - y) \\ 8y = 10 - 2y \\ 8y + 2y = 10 \\ 10y = 10 \\ y = 10 \div 10 \\ y = 1[/tex]

3)

[tex]2(3x - 4) = 4(x - 3) \: \: \: | \div 2 \\ 3x - 4 = 2(x - 3) \\ 3x - 4 = 2x - 6 \\ 3x - 2x = - 6 + 4 \\ x = - 2[/tex]

4)

[tex]7(x + 3) - 2(x - 5) = 8 \\ 7x + 21 - 2x + 10 = 8 \\ 5x = 8 - 31 \\ 5x = - 2 3 \\ x= - 23 \div 5 \\ x = - 4.6[/tex]

5)

[tex]5 + 3(2y - 1) = 2(y - 3) \\ 5 + 6y - 3 = 2y - 6 \\ 6y - 2y = - 6 - 2 \\ 4y = - 8 \\ y = - 8 \div 4 \\ y = - 2[/tex]

6)

[tex] - x - 5.2 = 12 - 2(x + 0.6) - 10 \\ - x = 5.2 + 2 - 2x - 1.2 \\ - x + 2x = 6 \\ x = 6[/tex]