If 5 more than twice a number is equal to 2 less
than 3 times the number, what is the number?

7

Step-by-step explanation:

The following equation can be derived from the question

Let x = unknown number

5 + 2x = 3x - 2

collect like terms

5 + 2 = 3x - 2x

x = 7

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true