SOLUTION: If 12 is subtracted from three times a number and the difference is multiplied by 2, the result is -42. Find the number.

Question 106053: If 12 is subtracted from three times a number and the difference is multiplied by 2, the result is -42. Find the number.
Found 2 solutions by Earlsdon, MathLover1:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
From the problem description, you can write: (n = the missing number)
2(3n-12) = -42 "If 12 is subtracted from 3 times a number (3n-12) and the difference is multiplied by 2, (2(3n-12)) the result is (=) -42"
Simplify and solve for n.
2(3n-12) = -42 Apply the distributive property to the left side.
6n-24 = -42 Add 24 to both sides.
6n = -18 Finally, divide both sides by 6.
n = -3
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If is subtracted from three times a number, we can write it as

and the difference is multiplied by , we can write it as

and if the result is ,we can write it as

Find the number:
---- both sides divide by
---- add to both sides

---- both sides divide by

check:

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