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I need help with these problems, I know the answers but dont understand the work, please help and show work

19d-3(d-6)=66
1/4(e-8)+3=7
4x-(2x+3)-6=11

User TrieuNomad
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1 Answer

20 votes
20 votes

Answer:

d = 3

e = 24

x = 10

Explanation:

19d - 3(d - 6) = 66

Expand the right side by multiplying -3 times d and -6:

19d - 3d + 18 = 66

combine terms using d on left side:

19d - 3d + 18 = 66

16d + 18 = 66

subtract 18 from both sides:

16d + 18 - 18 = 66 - 18

16d = 48

divide both sides by 16:

16d/16 = 48/16

d = 3

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1/4(e - 8) + 3 = 7

multiply 3 and -8 by 1/4 on left side:

1/4e - 2 + 3 = 7

simplify left side:

1/4e + 1 = 7

subtract 1 from both sides:

1/4 e + 1 - 1 = 7 - 1

1/4e = 6

divide both sides by 1/4:

1/4e/(1/4) = 6/(1/4)

e = 24

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4x - (2x + 3) - 6 = 11

add 6 to both sides:

4x - (2x + 3) - 6 + 6 = 11 + 6

4x - (2x + 3) = 17

remove ()'s and remember to change signs:

4x - 2x - 3 = 17

combine x terms on left side:

2x - 3 = 17

add 3 to both sides:

2x - 3 + 3 = 17 + 3

2x = 20

divide both sides by 2:

2x/2 = 20/2

x = 10

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Leave a comment if you have questions!

User Atxdba
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