 Mathematics
24 January, 08:22

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

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1. 24 January, 09:40
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Divide and express 2.7/1.1 to the nearest tenth.
2. 24 January, 09:46
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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.