Answer/Explanation:
We would solve for the value of x in each case.
1. [tex] 4x = 12 [/tex]
[tex] x = \frac{12}{4} [/tex] (division property of equality)
[tex] x = 3 [/tex]
2. [tex] \frac{x}{14} = -7 [/tex]
[tex] x = -7 \times 14 [/tex] (multiplication property of equality)
[tex] x = -98 [/tex]
3. [tex] 26 = 14 + x [/tex]
[tex] 26 - 14 = x [/tex] (subtraction property of equality)
[tex] 12 = x [/tex]
[tex] x = 12 [/tex]
4. [tex] -2 + x = 7 [/tex]
[tex] x = 7 + 2 [/tex] (addition property of equality)
[tex] x = 9 [/tex]
5. [tex] x - 6 = -2 [/tex]
[tex] x = -2 + 6 [/tex] (addition property of equality)
[tex] x = 4 [/tex]
6. [tex] - 5 = \frac{x}{8} [/tex]
[tex] - 5 \times 8 = x [/tex] (multiplication property of equality)
[tex] -40 = x [/tex]
7. [tex] - 7 = x + 3 [/tex]
[tex] - 7 - 3 = x [/tex] (subtraction property of equality)
[tex] -10 = x [/tex]
[tex] x = -10 [/tex]
8. [tex] -6x = 42 [/tex]
[tex] x = \frac{42}{-6} [/tex] (division property of equality)
[tex] x = -7 [/tex]
9. [tex] \frac{x}{6} = 4 [/tex]
[tex] x = 4 \times 6 [/tex] (multiplication property of equality)
[tex] x = 24 [/tex]
10. [tex] 13 = x - 4 [/tex]
[tex] 13 + 4 = x [/tex] (addition property of equality)
[tex] 17 = x [/tex]
[tex] x = 17 [/tex]
11. [tex] 100 = -25x [/tex]
[tex] \frac{100}{-25} = x [/tex] (division property of equality)
[tex] -4 = x [/tex]
[tex] x = -4 [/tex]
12. [tex] -7 + x = 4 [/tex]
[tex] x = 4 + 7 [/tex] (subtraction property of equality)
[tex] x = 11 [/tex]
13. [tex] 7 + x = 37 [/tex]
[tex] x = 37 - 7 [/tex] (subtraction property of equality)
[tex] x = 30 [/tex]
14. [tex] 56 = 8x [/tex]
[tex] \frac{56}{8} = x [/tex] (division property of equality)
[tex] 7 = x [/tex]
[tex] x = 7 [/tex]
15. [tex] \frac{x}{1} = -18 [/tex]
[tex] x = -18 [/tex] (multiplication property of equality)
[tex] x = -18 [/tex]
16. [tex] x + 6 = 16 [/tex]
[tex] x = 16 - 6 [/tex] (subtraction property of equality)
[tex] x = 10 [/tex]
17. [tex] x - 1 = -1 [/tex]
[tex] x = -1 + 1 [/tex] (subtraction property of equality)
[tex] x = 0 [/tex]
18. [tex] 10x = 70 [/tex]
[tex] x = \frac{70}{10} [/tex] (division property of equality)
[tex] x = 7 [/tex]
19. [tex] -11 = \frac{x}{3} [/tex]
[tex] -11 \times 3 = x [/tex] (multiplication property of equality)
[tex] x = -33 [/tex]
20. [tex] x - 5 = 1 [/tex]
[tex] x = 1 + 5 [/tex] (addition property of equality)
[tex] x = 6 [/tex]
