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

Algebra ->  Human-and-algebraic-language -> SOLUTION: Four times two less than a number is the same as thrice one more than the number.find the number       Log On


   

Question 1018076: Four times two less than a number is the same as thrice one more than the number.find the number
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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.