Question

A number was tripled, then decreased by 10, then doubled, and then increased by 2. The result was 5 times the original number.

If the original number was x, the equation will be
x=

Answer 1

x = 18

The number is 18.

Explanation:

Convert the words into an equation.

let x;

( 3x - 10 )( 2 ) + 2 = 5x;

6x - 20 + 2 = 5x;

6x - 18 = 5x;

Subtract both sides by 5x.

6x - 5x - 18 = 5x - 5x;

x - 18 = 0;

Add 18 to both sides.

x - 18 + 18 = 18;

x = 18;