let the number be "x"
4x - 7 = 3x + 2
isolate the x, move all numbers with variables to one side, and all constants to the other.
4x (-3x) - 7 (+7) = 3x (-3x) + 2 (+7)
4x - 3x = 2 + 7
simplify, combine like terms
x = 9
x = 9 is your answer
hope this helps
