Answer/Step-by-step explanation:
5. 5x - 10 = -40
Isolate x, add 10 to each side:
5x = 30
Divide 5 from both sides:
x = 6
6. 6x + 17 = -7
Isolate x, subtract 17 from both sides:
6x = -24
Divide 6 from both sides:
x = -4
7. 2x - 8 = 6x - 20
Isolate x, add 8 to both sides:
2x = 6x - 12
Subtract 6x from both sides:
-4x = -12
Divide -4 from both sides:
x = 3
8. 4x + 9 = 16 - 3x
Isolate x, subtract 9 from both sides:
4x = 7 - 3x
Add 3x to both sides:
7x = 7
Divide 7 from both sides:
x = 1
9. 5(3x - 20) = - 10
Distribute 5 into 3x and -20:
15x - 100 = -10
Isolate x, add 100 to both sides:
15x = 90
Divide 15 by both sides:
x = 6
10. 3(2x + 11) = 9
Distribute 3 into 2x and 11:
6x + 33 = 9
Isolate x, subtract 33 from both sides:
6x = -24
Divide 6 from both sides:
x = -4
11. 2(-x - 5) = 12
Distribute 2 into -x and -5:
-2x - 10 = 12
Isolate x, add 10 to both sides:
-2x = 22
Divide -2 from both sides:
x = -11
12. 44 - 2(3x + 4) = -18x
Distribute -2 into 3x and 4:
44 - 6x - 8 = -18x
Combine like terms:
-6x + 36 = -18x
Isolate x, add 6x to both sides:
36 = -12x
Divide -12 from both sides:
x = -3
13. 4(5x - 9) = - 2(x + 7)
Distribute 4 into 5x and -9, whilst distributing -2 into x and 7:
20x - 36 = -2x - 14
Isolate x, add 14 to both sides:
20x - 22 = -2x
Subtract 20x from both sides:
-22 = -22x
Divide -22 from both sides:
x = 1
14. 3(4x + 7) = 5(3x + 3)
Distribute 3 into 4x and 7, whilst distributing 5 into 3x and 3:
12x + 21 = 15x + 15
Subtract 15 from both sides:
12x + 6 = 15x
Subtract 12x from both sides:
6 = 3x
Divide 3 from both sides:
x = 2