What value of x is in the solution set of –2(3x + 2) > –8x + 6

5 <x

Step-by-step explanation:

–2(3x + 2) > –8x + 6

Divide each side by -2, remembering to flip the inequality

–2/-2(3x + 2) < –8x/-2 + 6/-2

3x+2 < 4x-3

Subtract 3x from each side

3x-3x+2 < 4x-3x-3

2 < x-3

Add 3 to each side

2+3 < x-3+3

5 <x

Step-by-step explanation:

-2( 3x + 2) > -8x + 6

-2*3x + (-2)*2 > -8x + 6

-6x  - 4 > -8x + 6

Add 4 to both sides

-6x - 4 + 4 > -8x + 6 + 4   { add like terms}

-6x > -8x + 10

Add 8x to both sides

-6x + 8x > - 8x + 10 + 8x

2x  > 10

Divide both sides by 2

2x/2 > 10/2

x > 5

0/5 is 0, 2/0 is undefined, and 0/0 is indeterminate.

step-by-step explanation:

hope my answer has you!

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6: 4= 3/2

18: 8= 9/4

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