Let’s solve each equation step by step. We’ll isolate the variable (x) on one side of the equation.
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16. 6x + 18 = 48
Subtract 18 from both sides:
6x = 30
Divide by 6:
x = 5
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17. x/5 - 12 = 2
Add 12 to both sides:
x/5 = 14
Multiply by 5:
x = 70
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18. x/9 + 6 = 9
Subtract 6 from both sides:
x/9 = 3
Multiply by 9:
x = 27
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19. (2/5)x + 4 = 9
Subtract 4:
(2/5)x = 5
Multiply both sides by 5/2:
x = 5 × (5/2) = 25/2 = 12.5
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20. 9x - 27 = 63
Add 27:
9x = 90
Divide by 9:
x = 10
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21. 12x - 12 = 156
Add 12:
12x = 168
Divide by 12:
x = 14
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22. (2/5)x + 13 = 17
Subtract 13:
(2/5)x = 4
Multiply by 5/2:
x = 4 × (5/2) = 20/2 = 10
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23. 4x + 12 = 56
Subtract 12:
4x = 44
Divide by 4:
x = 11
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24. (4/5)x + 5 = 13
Subtract 5:
(4/5)x = 8
Multiply by 5/4:
x = 8 × (5/4) = 40/4 = 10
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25. 11x - 33 = 55
Add 33:
11x = 88
Divide by 11:
x = 8
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26. 30x - 90 = 180
Add 90:
30x = 270
Divide by 30:
x = 9
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27. (5/6)x - 4 = 7
Add 4:
(5/6)x = 11
Multiply by 6/5:
x = 11 × (6/5) = 66/5 = 13.2
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28. (5/9)x + 5 = 18
Subtract 5:
(5/9)x = 13
Multiply by 9/5:
x = 13 × (9/5) = 117/5 = 23.4
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29. 50x - 150 = 750
Add 150:
50x = 900
Divide by 50:
x = 18
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30. 14x - 28 = 42
Add 28:
14x = 70
Divide by 14:
x = 5
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Final Answer:
16. x = 5
17. x = 70
18. x = 27
19. x = 12.5
20. x = 10
21. x = 14
22. x = 10
23. x = 11
24. x = 10
25. x = 8
26. x = 9
27. x = 13.2
28. x = 23.4
29. x = 18
30. x = 5
Parent Tip: Review the logic above to help your child master the concept of multi step equations worksheet 8th grade.
