Basic Algebra worksheet with equations to solve for x.

Here are the solutions for each equation, solved step by step.

1) $-2x - 73 = -89$
Add 73 to both sides:
$-2x = -89 + 73$
$-2x = -16$
Divide by -2:
$x = 8$

2) $-16x = -64$
Divide both sides by -16:
$x = \frac{-64}{-16}$
$x = 4$

3) $7x + 56 = -56$
Subtract 56 from both sides:
$7x = -56 - 56$
$7x = -112$
Divide by 7:
$x = -16$

4) $5x - 63 = 17$
Add 63 to both sides:
$5x = 17 + 63$
$5x = 80$
Divide by 5:
$x = 16$

5) $8x + 11 = 75$
Subtract 11 from both sides:
$8x = 75 - 11$
$8x = 64$
Divide by 8:
$x = 8$

6) $8x + 77 = -43$
Subtract 77 from both sides:
$8x = -43 - 77$
$8x = -120$
Divide by 8:
$x = -15$

7) $-11x - 27 = -49$
Add 27 to both sides:
$-11x = -49 + 27$
$-11x = -22$
Divide by -11:
$x = 2$

8) $18x + 75 = 21$
Subtract 75 from both sides:
$18x = 21 - 75$
$18x = -54$
Divide by 18:
$x = -3$

9) $-6x - 66 = 66$
Add 66 to both sides:
$-6x = 66 + 66$
$-6x = 132$
Divide by -6:
$x = -22$

10) $-17x = 68$
Divide both sides by -17:
$x = \frac{68}{-17}$
$x = -4$

11) $-5x + 67 = -48$
Subtract 67 from both sides:
$-5x = -48 - 67$
$-5x = -115$
Divide by -5:
$x = 23$

12) $12x = 36$
Divide both sides by 12:
$x = \frac{36}{12}$
$x = 3$

13) $17x + 40 = 57$
Subtract 40 from both sides:
$17x = 57 - 40$
$17x = 17$
Divide by 17:
$x = 1$

14) $12x + 33 = 93$
Subtract 33 from both sides:
$12x = 93 - 33$
$12x = 60$
Divide by 12:
$x = 5$

15) $-3x - 95 = -8$
Add 95 to both sides:
$-3x = -8 + 95$
$-3x = 87$
Divide by -3:
$x = -29$

16) $-6x - 4 = -10$
Add 4 to both sides:
$-6x = -10 + 4$
$-6x = -6$
Divide by -6:
$x = 1$

17) $2x - 3 = 9$
Add 3 to both sides:
$2x = 9 + 3$
$2x = 12$
Divide by 2:
$x = 6$

18) $-19x - 15 = 4$
Add 15 to both sides:
$-19x = 4 + 15$
$-19x = 19$
Divide by -19:
$x = -1$

19) $-19x - 87 = 8$
Add 87 to both sides:
$-19x = 8 + 87$
$-19x = 95$
Divide by -19:
$x = -5$

20) $19x + 84 = -11$
Subtract 84 from both sides:
$19x = -11 - 84$
$19x = -95$
Divide by 19:
$x = -5$

21) $10x + 42 = -8$
Subtract 42 from both sides:
$10x = -8 - 42$
$10x = -50$
Divide by 10:
$x = -5$

22) $18x = 36$
Divide both sides by 18:
$x = \frac{36}{18}$
$x = 2$

23) $-20x + 10 = -10$
Subtract 10 from both sides:
$-20x = -10 - 10$
$-20x = -20$
Divide by -20:
$x = 1$

24) $20x - 1 = 59$
Add 1 to both sides:
$20x = 59 + 1$
$20x = 60$
Divide by 20:
$x = 3$

25) $14x + 43 = -83$
Subtract 43 from both sides:
$14x = -83 - 43$
$14x = -126$
Divide by 14:
$x = -9$

26) $5x - 25 = -5$
Add 25 to both sides:
$5x = -5 + 25$
$5x = 20$
Divide by 5:
$x = 4$

27) $14x - 26 = -12$
Add 26 to both sides:
$14x = -12 + 26$
$14x = 14$
Divide by 14:
$x = 1$

Final Answer:
1) x = 8
2) x = 4
3) x = -16
4) x = 16
5) x = 8
6) x = -15
7) x = 2
8) x = -3
9) x = -22
10) x = -4
11) x = 23
12) x = 3
13) x = 1
14) x = 5
15) x = -29
16) x = 1
17) x = 6
18) x = -1
19) x = -5
20) x = -5
21) x = -5
22) x = 2
23) x = 1
24) x = 3
25) x = -9
26) x = 4
27) x = 1