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

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.

Divide and express 2.7/1.1 to the nearest tenth.