Question

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

Answer 1

im sure the answer is D sorry if im wrong  

Answer 2

D. 2x – 4 = x – 12 x = –8

Explanation:

Firstly, let's call a number by x. Then we're going to Translate into variables and numbers: If 4 is subtracted from twice a number=4-2x, the result (=) is 12 less than the number (12-x). And now Perform the operations, carefully watching out for signs. Pay attentios to propety of the equality, what we add, subtract, multiply, ... on the 1st member (left side) must be equally done on the second member (right side of the equality)

2x-4=x-12 Adding -x on both sides of this equality

x-4=-12

x-4+4=-12+4 Adding 4 units to both sides to isolate x onf 1st member

x=-12+4

x=-8

S={-8} Solution Set of this linear equation