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Liza needs help to solve this linear equation. 4(x – 5) + 2x = 9x – 2(4 + 2x) She has completed two steps, but now she’s stuck. Examine her work.
1.   4x - 20 + 2x = 9x - 8 - 4x

2.   6x - 20 = 5x - 8

Liza needs help to solve this linear equation.

4(x – 5) + 2x = 9x – 2(4 + 2x)

She has completed two steps, but now she’s stuck. Examine her work.

1.   4x - 20 + 2x = 9x - 8 - 4x

2.   6x - 20 = 5x - 8

What could be the next step? Select all that apply.
A. Add 8 to both sides.
B Add 5x to both sides.
C Subtract 6x from both sides.
D Subtract 20 from both sides.
E Divide both sides by –8.
F Divide both sides by –20.

Respuesta :

Answer:

Add 8 to both sides.

Subtract 6x from both sides.

Step-by-step explanation:

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The steps required to solve the linear equations are required.

The next two steps are A. Add 8 to both sides, C. Subtract 6x from both sides.

The given steps are

[tex]4(x-5)+2x=9x-2(4+2x)\\\Rightarrow 4x-20+2x=9x-8-4x\\\Rightarrow 6x-20=5x-8[/tex]

The next steps are

[tex]6x-20+8=5x-8+8\\\Rightarrow 6x-12=5x\\\Rightarrow 6x-12-6x=5x-6x\\\Rightarrow -12=-1x\\\Rightarrow x=12[/tex]

So, the next two steps are A. Add 8 to both sides, C. Subtract 6x from both sides.

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