26.6k views
4 votes
What value of x is in the solution set of 2(3x - 1) = 4x-6?
-10
-5
-3
-1

User Richi
by
6.2k points

2 Answers

4 votes

Answer:

-1 is the answer

Explanation:

User Sneaky
by
6.2k points
7 votes

Hey!

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Lets try -10:

2(3(-10) - 1) = 4(-10) - 6

2(-30 - 1) = (-40) - 6

2(-31) = (-40) - 6

-62 ≠ -46

Incorrect.

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Lets try -5:

2(3(-5) - 1) = 4(-5) - 6

2(-15 - 1) = (-20) - 6

2(-16) = (-20) - 6

-32 ≠ -26

Incorrect.

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Lets try -3:

2(3(-3) - 1) = 4(-3) - 6

2(-9 - 1) = (-12) - 6

2(-10) = (-12) - 6

-20 ≠ -18

Incorrect.

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Lets try -1:

2(3(-1) - 1) = 4(-1) - 6

2(-3 - 1) = (-4) - 6

2(-4) = (-4) - 6

-8 ≠ -10

Incorrect.

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So all the options are incorrect.

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Lets solve for x:

2(3x - 1) = 4x - 6

(2 * 3x) + (2 * -1) = 4x + (-6)

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

6x - 2 = 4x - 6

6x - 2 - 4x = 4x - 6 - 4x

2x - 2 = -6

2x + 2 - 2 = -6 + 2

2x = -4

2x/2 = -4/2

x = -2

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Hope This Helped! Good Luck!

User Eliseo
by
7.1k points
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