Question

3 less than 2 times a number is the same as 2 more than 3 times the number

Answer 1

2x - 3 = 3x + 2

Explanation:

Assign a variable for the number:

let x be the number

Take apart the question and convert words to algebraic symbols. "times" is multiplication. "less than" is subtraction from. "more than" is addition to.

3 less than 2 times a number

2x - 3

= is the same as

2 more than 3 times the number

3x + 2

Put the parts together:

2x - 3 = 3x + 2

This equation represents the situation.