Three times a number, decreased by 4, is the same as double the difference of the number and 1. Translate to an equation and solve.

Answer 1

Hello, Kerry! I am more than happy to help you with this problem.

1. “Three times” means multiply by 3.
2. ”A number” means any variable, such as x.
3. ”Is the same as” means the equal sign (=).
4. ”Double” means multiply by 2.
5. ”Difference” means the answer to a subtraction statement (mathematical expression or equation.)

Therefore, the equation is 3x - 4 = 2 (x - 1)

3x - 4 = 2x - 2

+ 4 + 4

3x = 2x + 2

-2x -2x

x = 2

Check

3(2) - 4 = 2(2) - 2

6 - 4 = 4 - 2

2 = 2 ✅