what is the solution to the following equation?

3(7x - 12) + 26 =3x -10

A) 0
B) 1
C) 5
D) 8

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Question

Grade: Education Subject: mathematics
what is the solution to the following equation?

3(7x - 12) + 26 =3x -10

A) 0
B) 1
C) 5
D) 8
Asked by:
136 Viewed 136 Answers

Answer (136)

Best Answer
(264)
Hey there!:

3 ( 7 x - 12 ) + 26 = 3x - 10

3 * 7x - 3 * 12 + 26 = 3x - 10

21 x - 36 + 26 = 3x - 10

21x - 3x = - 10 + 36 - 26

18  x = 0

x = 0 / 18

x = 0

Answer A
(427)
1) Distribute the 3 to the 7x and the 12 using the distributive property. Then simplify:
3(7x - 12) + 26 = 3x - 10
21x - 36 + 26 = 3x - 10
21x - 10 = 3x - 10

2) Get all the variables to one side of the equation and everything else to the other side:
21x - 10 = 3x - 10
18x - 10 = -10
18x = 0
x = 0

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Answer: x = 0