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 ~

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.

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

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

(propably not…)

14x/3 = -3 + 8/3

14x = 3(-3 + 8/3)

14x = -9 + 8

x = -1/14