Select the algebraic equation that correctly represents the given sentence, and solve the equation. If 4 is subtracted from twice a number, the result is 12 less than the number. A. 2x – 4 = x + 12 x = 16 B. 2x + 4 = x – 12 x = –16 C. 2x + 4 = x + 12 x = 8 D. 2x – 4 = x – 12 x = –8

Respuesta :

Answer:

Divide and express 2.7/1.1 to the nearest tenth.

Step-by-step explanation:

Answer:

D. 2x – 4 = x – 12            

x = –8

Step-by-step explanation:

By converting the sentence into mathematical values, we do the following:

If 4 is subtracted (- 4)

from  

twice a number (2x)

the result is (=)

12 less than (- 12)

the number (x)

So is,

-4 + 2x = -12 + x

Or, organizing the elements to put "x" variable before independent number, we have

2x – 4 = x – 12

Grouping the "x" on the left side, and the independent numbers on the right side, we change the signs (+, -) when passing them from one side to the other,  

2x – x = - 12 + 4  

Summing algebraically (in this case subtracting by having different signs) on both sides,

2x – x = x, and

-12 + 4 = -8, then

2x – x = - 12 + 4 equals

X = - 8

Remember the rules of algebraic sum:

(1) Numbers with identical signs are added and the sign they possess is placed.

(2) Numbers with different signs are subtracted and the sign that has the largest number is placed.

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