SOLUTION: If 10 less than twice a number is decreased by 5 less than 3 times the number, the result is same as the original number increased by 7. What is the number?

Question 331351: If 10 less than twice a number is decreased by 5 less than 3 times the number, the result is same as the original number increased by 7. What is the number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If 10 less than twice a number is decreased by 5 less than 3 times the number,
the result is same as the original number increased by 7. What is the number?
:
Let x = "a number"
:
(2x - 10) - (3x - 5) = x + 7
remove the brackets
2x - 10 - 3x + 5 = x + 7
:
2x - 3x - x = 7 + 10 - 5
:
-2x = 12
x =
x = -6 is the number
:
:
Check solution in original equation
(2(-6) - 10) - (3(-6) - 5) = -6 + 7
-22 - (-23) = 1
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