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5 votes
Solve for x.

6 – 3(2x – 4) = 2(1 + x)

A. -2
B. 0
C. -1
D. 2

User Mdpoleto
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7.9k points

2 Answers

6 votes
Hi Brainiac

6 - 3(2x - 4) = 2(1 + x)
Use the distributive property
6+(-3)(2x)+(-3)(-4) = (2)(1)+(2)(x)
6 - 6x + 12 = 2 + 2x
Now we need to combine like terms
-6x +(6+12) = 2x +2
-6x + 18 = 2x + 2
-6x -2x = 2 - 18
-8x = -16
x = -16/-8
x= 2

I hope that's help... If you have any further questions please let me know. Good night :)
User Wavey
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8.3k points
3 votes
6 - 3(2x - 4) = 2(1 + x) Use the Distributive Property (Multiply the number on the outside of the parentheses by all of the numbers in parentheses to get rid of the parentheses.)
6 - 6x + 12 = 2 + 2x Isolate the variable. Start by subtracting 2 from both sides.
6 - 6x + 12 - 2 = 2x Combine like terms. (6, 12, and -2)
16 - 6x = 2x Add 6x to both sides to get all the x's on one side of the equation.
16 = 8x Divide both sides by 8.
2 = x

X equals D. 2 .


User Konstantin Nikitin
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8.3k points