Question

if the sum of three times a number and negative four is decreased by six then the result is nine less than the original number. Find the original number

Answer 1

suppose the number is x.
the sum of three times a number and negative four :
3x + (-4) = 3x-4

then decreased by six :
3x-4-6 = 3x-10

then the result is nine less than the original number:
3x-10 = x-9
3x-x = 10-9 -> 2x=1 -> x=1/2