Question

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

Answer 1

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

Explanation:

Isolate x on one side of the equation.

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

DISTRIBUTIVE PROPERTY

⇒ 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.

Answer 2

-6 (All Real Numbers)

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".

Hope this helps! :-)