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Ber [7]
3 years ago
9

10 - x = 2(-2x - 4) Identify with either No Solution or All Real Numbers.

Mathematics
2 answers:
MAXImum [283]3 years ago
8 0

Answer:

\Huge\boxed{\mathsf{\Rightarrow X=-6}}}

Step-by-step explanation:

Isolate x on one side of the equation.

2(-2x-4)  ← (Expand by using with distributive property.)

<u><em>DISTRIBUTIVE PROPERTY</em></u>

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

A=2

B=(-2x)

C=4

2(-2x)-2*4

-2*2x-2*4

-2*2x-2*4 (Solve.)

-2*2-2*4=-4x-8

Rewrite the equation problem.

10-x=-4x-8

10-x-10=-4x-8-10 (Subtract 10 from both sides.)

Solve.

-x=-4x-18

-x+4x=-4x-18+4x (Then, add 4x from both sides.)

3x=-18 (Solve.)

3x/3=-18/3 (Divide by 3 from both sides.)

-18/3 (Solve & Simplify.)

-18/3=-6

X=-6

\Large\boxed{\mathsf{X=-6}}}

Therefore, the correct answer is x=-6.

igor_vitrenko [27]3 years ago
3 0

Answer:

-6 (All Real Numbers)

Step-by-step explanation:

First, you need to solve it and then determine if it is a solution or not. -6 is an integer, making it a real number. Therefore, the answer is "All Real Numbers".

<em>Hope this helps! :-)</em>

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