I need help with this math problem?

Question

I am helping my daughter with her homework. I have no idea how to do this problem. Will you solve it for me and then explain how you got your answer?

2/3(7x-4)+8=5

Answer 1

2/3(7x - 4) + 8 = 5

Subtract 8 from both sides:
2/3(7x - 4) = -3

Multiply both sides by 3/2:
(7x - 4) = -3 * 3/2
7x - 4 = -9/2

Add 4 to both sides:
7x = 4 - 9/2
7x = -1/2

Multiply both sides by 1/7:
x = -1/2 * 1/7
x = -1/14

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* Always check your work *
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Plug in (-1/14) for x:

2/3(7(-1/14) - 4) + 8 = 5 ?
2/3(-1/2 - 4) + 8 = 5 ?
2/3(-9/2) + 8 = 5 ?
-3 + 8 = 5 ?
5 = 5 <--- Checks!


Good luck in your daughter's studies,
~ Mitch ~

Answer 2

ok, i'll assume the 2/3 is the multiplier in front of the parens, so let's leave it there for right now. As long as you do something to both sides, you can do whatever, so lets multiply both sides by 3 (to get rid of the fraction in front of the parens. This yields:
3*2/3(7x-4) + 3*8 = 3*5 which reduces to
2(7x-4) + 24 = 15 (note that multiplying 3 by the 2/3 up in front of the parens is sufficient due to the distributive property)
Now, simplify the parens by mutiplying 2 though it, yielding:
(14x - 8) + 24 = 15, combine your terms:
14x + 16 = 15, subtract 16 from both sides:
14x + 16 - 16 = 15 -16
14x = -1 or x = -1/14

To check this answer, plug the value for x back into the original equation:
2/3(7[-1/14] - 4) + 8 = 5
2/3(-1/2 - 4) +8 = 5
2/3(-9/2) + 8 = 5
-18/6 + 8 = 5
-3 + 8 = 5
5 = 5 Answer checks.

Answer 3

2/3(7x-4)+8=5

multiply both sides by 3

2(7x-4) + 24 = 15

clear parenthesis

14x - 8 + 24 = 15

combine terms

14x + 16 = 15

subtract 16 from both sides

14x = -1

divide both sides by 14

x = -1/14

Answer 4

2 / 3 (7x - 4) + 8 = 5
multiply baracket by 2>>>> 14x - 8 / 3 + 8 =5
now take the LCM >>>>> 14x - 8 + 24 / 3 = 5
now multiply >>>>>>> 14x - 8 + 24 = 5 x 3
14x + 16 =15
14x =15-16
14x = -1
x= -1 / 14

Answer 5

I) 2/[3(7x-4)+8]=5/1 => 5*[3(7x-4)+8]=2 => 15(7x-4)+40=2 => 15(7x-4)=-38 => 7x-4=-38/15 => 7x=(-38/15)+4 => x=[(-38/15)+4]/7 = -0.21

(propably not...)

Answer 6

14x/3 - 8/3 = 5 - 8
14x/3 = -3 + 8/3
14x = 3(-3 + 8/3)
14x = -9 + 8
x = -1/14

Answer 7

How old is your duaghter I am in 8th grade and I already did that but I have forgotten how to unforunatly all think about it can't you just use a calulater or does she have a textbook to use? The math problem would be Well use this fraze to help you. plaese excuse my dear ant sally. It means perintheses, exponits, mltiply, devide, add and subtract use that in that order and I bet it would help alot! If any one ever has any home work questions tell them to email me at [e-mail] I have skipped 2 grades and I am still at the top of the class!

Answer 8

i dunno