oceanfreezee
oceanfreezee oceanfreezee
  • 11-06-2018
  • Mathematics
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3 times the sum of 5 times a number and 4 is 7 times the difference twice the number and 5, what is the number?

3 times the sum of 5 times a number and 4 is 7 times the difference twice the number and 5 what is the number class=

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Americ
Americ Americ
  • 13-06-2018
x= a number
sum of= addition
difference= subtraction
is= equal sign


3(5x + 4)= 7(2x - 5)
multiply outer numbers by each term in parentheses

(3 * 5x) + (3 * 4)= (7 * 2x) + (7 * -5)
multiply in parentheses

15x + 12= 14x - 35
subtract 14x from both sides

x + 12= -35
subtract 12 from both sides

x= -47


ANSWER: The number is -47.

Hope this helps! :)
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