Question

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Answer 1

Answer/Explanation:

We would solve for the value of x in each case.

1. $4x = 12$

$x = \frac{12}{4}$ (division property of equality)

$x = 3$

2. $\frac{x}{14} = -7$

$x = -7 \times 14$ (multiplication property of equality)

$x = -98$

3. $26 = 14 + x$

$26 - 14 = x$ (subtraction property of equality)

$12 = x$

$x = 12$

4. $-2 + x = 7$

$x = 7 + 2$ (addition property of equality)

$x = 9$

5. $x - 6 = -2$

$x = -2 + 6$ (addition property of equality)

$x = 4$

6. $- 5 = \frac{x}{8}$

$- 5 \times 8 = x$ (multiplication property of equality)

$-40 = x$

7. $- 7 = x + 3$

$- 7 - 3 = x$ (subtraction property of equality)

$-10 = x$

$x = -10$

8. $-6x = 42$

$x = \frac{42}{-6}$ (division property of equality)

$x = -7$

9. $\frac{x}{6} = 4$

$x = 4 \times 6$ (multiplication property of equality)

$x = 24$

10. $13 = x - 4$

$13 + 4 = x$ (addition property of equality)

$17 = x$

$x = 17$

11. $100 = -25x$

$\frac{100}{-25} = x$ (division property of equality)

$-4 = x$

$x = -4$

12. $-7 + x = 4$

$x = 4 + 7$ (subtraction property of equality)

$x = 11$

13. $7 + x = 37$

$x = 37 - 7$ (subtraction property of equality)

$x = 30$

14. $56 = 8x$

$\frac{56}{8} = x$ (division property of equality)

$7 = x$

$x = 7$

15. $\frac{x}{1} = -18$

$x = -18$ (multiplication property of equality)

$x = -18$

16. $x + 6 = 16$

$x = 16 - 6$ (subtraction property of equality)

$x = 10$

17. $x - 1 = -1$

$x = -1 + 1$ (subtraction property of equality)

$x = 0$

18. $10x = 70$

$x = \frac{70}{10}$ (division property of equality)

$x = 7$

19. $-11 = \frac{x}{3}$

$-11 \times 3 = x$ (multiplication property of equality)

$x = -33$

20. $x - 5 = 1$

$x = 1 + 5$ (addition property of equality)

$x = 6$