Respuesta :

eunice1234

Answer: x < 2

Step-by-step explanation:

Given expression

2 (8x - 4) - 2x < 4x + 12

Expand parentheses and apply the distributive property

16x - 8 - 2x < 4x + 12

Combine like terms

(16x - 2x) - 8 < 4x + 12

14x - 8 < 4x + 12

Add 8 on both sides

14x - 8 + 8 < 4x + 12 + 8

14x < 4x + 20

Subtract 4x on both sides

14x - 4x < 4x + 20 - 4x

10x < 20

Divide 10 on both sides

10x / 10 < 20 / 10

[tex]\boxed{x<2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

[tex] \fbox { \fbox{Solution}}[/tex]

Given

[tex]2(8x-4)-2x < 4x+12[/tex]

Solving The Equation

[tex]16x-8-2x < 4x+12[/tex]

Solving The Like Terms

[tex]16x-2x-8 < 4x+12[/tex]

[tex]= 14x-8 < 4x+12[/tex]

Adding 8 in both sides

[tex]= 14x-8+8 < 4x+12+8[/tex]

[tex]= 14x < 4x+20[/tex]

Bringing 4x To Left side

[tex]= 14x-4x < 20[/tex]

[tex]= 10x < 20[/tex]

[tex] = 10x < 20 \\ \\ = x < \frac{20}{10} \\ \\ = x < \cancel \frac{20}{10} \\ \\ = x < 2[/tex]

Hope This Helps You

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