10 - x = 2(-2x - 4)
identify with either no solution or all real numbers.

Step-by-step 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

Therefore, the correct answer is x=-6.

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