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rodikova [14]
3 years ago
12

8x - 16 = -4x - 4(1-6x) please show work

Mathematics
2 answers:
Anastasy [175]3 years ago
4 0
<h3><u>Explanation</u></h3>
  • Distribute -4 in (1-6x).

8x - 16 =  - 4x -4 + 24x

  • Solve the equation for x-term by making x as the subject.

8x + 4x - 24x = 16 - 4 \\ 12x - 24x = 12 \\  - 12x = 12 \\ x =  \frac{12}{ - 12}  \Longrightarrow \frac{1}{ - 1}  \Longrightarrow   - 1 \\ x =  - 1

  • Answer Check by substituting x = -1 in the equation.

8( - 1) - 16 =  - 4( - 1) - 4 + 24( - 1) \\  - 8 - 16 = 4 - 4 - 24 \\  - 24 = 0 - 24 \\  - 24 =  - 24

The equation is true for x = -1.

<h3><u>Answer</u></h3>

<u>\large \boxed{x =  - 1}</u>

iris [78.8K]3 years ago
3 0

Answer:

x= -1

Step-by-step explanation:

8x - 16 = -4x - 4(1-6x)

8x - 16 = -4x - 4+24x

8x - 16 = 20x-4

8x - 16+16 = 20x-4+16

8x = 20x+12

8x-20x = 20x-20x+12

-12x=12

Divide both by -12, and you get -1.

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