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1 vote
Twelve times the quantity of a

number decreased by ten is
two times that number plus
fourteen

User MikePtr
by
5.2k points

1 Answer

3 votes

Answer: x = 13.4

Explanation:

We translate 'English' to 'math':

'decreased by' is subtraction

'is' means '='

12(x - 10) = 2x + 14

12x - 120 = 2x + 14

subtract 2x from each side

10x - 120 = 14

Add 120 to each side

10x = 134

Divide by 10 , to isolate the 'x'

x = 13.4

If we substitute 13.4 for 'x' back in the first equation, we get 40.8 for each side, so the equation balances.

I hope this helps.

User Ali Azam
by
4.7k points