1. 2x = 14 --> divide both sides by 2 --> x = 14/2 --> x = 7
2. x + 4 = 3 --> subtract 4 from both sides --> x = 3-4 --> x = -1
3. 3x + 6 = 12 --> subtract 6 from both sides --> 3x = 12-6 --> 3x = 6
4. 2x + 8 = 14 --> factor 2 out on the left side --> 2(x+4) = 14 --> divide both sides by 2 --> x + 4 = 14/2 --> x + 4 = 7
5. x + 5 = 4 --> factor -1 out on the left side --> -(-x-5) = 4 --> divide both sides by -1 --> -x-5 = 4/-1 --> -x-5 = -4
6. 2x + 4 = 3x - 5 --> subtract 2x from both sides --> 4 = 3x - 5 - 2x --> add 5 on both sides --> 4 + 5 = 3x - 2x --> 3x - 2x = 9
7. x - 8 = 24 --> add 8 on both sides --> x = 24 + 8 --> x = 32
8. 21 - 5x = 2 --> subtract 21 from both sides --> -5x = 2 - 21 --> -5x = -19 --> divide both sides by -1 --> 5x = -19/-1 --> 5x = 19
9. 4x + 2 = 8 --> add 2 on both sides --> 4x + 2 + 2 = 8 + 2 --> 4x + 4 = 10 --> factor 4 out on the left side --> 4(x+1) = 10 --> divide both sides by 4 --> x + 1 = 10 / 4 --> x + 1 = 2.5
10. (x-5) / 7 = 10 --> multiply both sides by 7 --> x-5 = 10 * 7 --> x-5 = 70