Question 1018076
let x be the number.


Four times two less than a number is the same as thrice one more than the number.


find the number


4 times 2 less than the number is equal to 4 * (x-2).


3 * one more than the number is equal to 3 * (x+1).


you get 4 * (x-2) = 3 * (x+1).


distribute the multiplication on each side of the equation to get:


4x - 8 = 3x + 3


subtract 3x from both sides of the equation and add 8 to both sides of the equation to get:


4x - 3x = 3 + 8


combine like terms to get x = 11.


that's your solution.


4 * (x-2) is equal to 4 * (11 - 2) which is equal to 4 * 9 which is equal to 36.


3 * (x+1) is equal to 3 * (11 + 10 which is equal to 3 * 12 which is equal to 36.


your solution is that the number is equal to 11.